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Sep 21, 2013
09/13

by
Alex E. Bernardini

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We obtain the solutions for the tunneling zone of a one-dimensional electrostatic potential in the relativistic (Dirac to Klein-Gordon) wave equation regime when the incoming wave packet exhibits the possibility of being almost totally transmitted through the potential barrier. The conditions for the occurrence of accelerated and, eventually, superluminal tunneling transmission probabilities are all quantified and the problematic superluminal interpretation originated from the study based on...

Source: http://arxiv.org/abs/0706.3930v3

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Sep 19, 2013
09/13

by
Alex E. Bernardini

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Using a recently developed procedure - multiple wave packet decomposition - here we study the phase time formulation for tunneling/reflecting particles colliding with a potential barrier. To partially overcome the analytical difficulties which frequently arise when the stationary phase method is employed for deriving phase (tunneling) time expressions, we present a theoretical exercise involving a symmetrical collision between two identical wave packets and an one-dimensional rectangular...

Source: http://arxiv.org/abs/quant-ph/0701010v1

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Sep 18, 2013
09/13

by
Alex E. Bernardini

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We proceed with the construction of normalizable Dirac wave packets for treating chiral oscillations in the presence of an external magnetic field. Both chirality and helicity quantum numbers correspond to variables of fundamental importance in the study of chiral interactions, in particular, in the context of neutrino physics. In order to clarify a subtle aspect in the confront of such concepts which, for massive particles, represent different physical quantities, we are specifically...

Source: http://arxiv.org/abs/hep-th/0606239v1

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Sep 17, 2013
09/13

by
Alex E. Bernardini

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The transit times are obtained for a symmetrized (two identical bosons) and an antisymmetrized (two identical fermions) quantum colliding configuration. Considering two identical particles symmetrically impinging on a one-dimensional barrier, we demonstrate that the phase time and the dwell time give connected results where, however, the exact position of the scattered particles is explicitly determined by the phase time (group delay). For the antisymmetrized wave function configuration, an...

Source: http://arxiv.org/abs/0711.4695v2

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Sep 19, 2013
09/13

by
Alex E. Bernardini

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We seek the {\em immediate} description of chiral oscillations in terms of the trembling motion described by the velocity (Dirac) operator {\boldmath$\alpha$}. By taking into account the complete set of Dirac equation solutions which results in a free propagating Dirac wave packet composed by positive and negative frequency components, we report about the well-established {\em zitterbewegung} results and indicate how chiral oscillations can be expressed in terms of the well know quantum...

Source: http://arxiv.org/abs/hep-th/0701091v1

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Sep 21, 2013
09/13

by
Alex E. Bernardini

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The general and explicit relation between the phase time and the dwell time for quantum tunneling or scattering is investigated. Considering a symmetrical collision of two identical wave packets with an one-dimensional barrier, here we demonstrate that these two distinct transit time definitions give connected results where, however, the phase time (group delay) accurately describes the exact position of the scattered particles. The analytical difficulties that arise when the stationary phase...

Source: http://arxiv.org/abs/0706.3929v2

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Sep 17, 2013
09/13

by
Alex E. Bernardini

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We propose a generalized way to formally obtain the gauge invariance of the kinetic part of a field Lagrangian over which a gauge transformation ruled by an $SU(n)_{U} \otimes SU(m)_{V}$ coupling symmetry is applied. As an illustrative example, we employ such a formal construction for reproducing the standard model Lagrangian. This generalized formulation is supposed to contribute for initiating the study of gauge transformation applied to generalized $SU(n)_{U} \otimes SU(m)_{V}$ symmetries as...

Source: http://arxiv.org/abs/0711.4690v1

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Sep 19, 2013
09/13

by
Alex E. Bernardini

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A unified treatment of mass varying dark matter coupled to cosmon-{\em like} dark energy is shown to result in {\em effective} generalized Chaplygin gas (GCG) scenarios. The mass varying mechanism is treated as a cosmon field inherent effect. Coupling dark matter with dark energy allows for reproducing the conditions for the present cosmic acceleration and for recovering the stability resulted from a positive squared speed of sound $c_{s}^{\2}$, as in the GCG scenario. The scalar field mediates...

Source: http://arxiv.org/abs/0910.1646v2

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Sep 18, 2013
09/13

by
Alex E. Bernardini

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Gauge boson masses for a minimal $SU(4)_{EW} \otimes U(1)_{B-l}$ model]{Following the general procedure of spontaneous symmetry breaking of a $SU(4)_{EW} \otimes U(1)_{B-l}$ electroweak gauge group with left-right symmetry, we obtain the gauge boson masses and currents for the minimal version of the model. The physical eigenstates for neutral gauge bosons are determined by introducing two mixing angles $\theta_4$ and $\theta_3$ which are related to the electroweak mixing angle $\theta_w$ at the...

Source: http://arxiv.org/abs/hep-ph/0611343v1

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Sep 23, 2013
09/13

by
Alex E. Bernardini

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Chiral oscillation as well as spin flipping effects correspond to quantum phenomena of fundamental importance in the context of particle physics and, in particular, of neutrino physics. From the point of view of first quantized theories, we are specifically interested in appointing the differences between chirality and helicity by obtaining their dynamic equations for a fermionic Dirac-type particle (neutrino). We also identify both effects when the non-minimal coupling with an external...

Source: http://arxiv.org/abs/hep-ph/0511232v3

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Sep 21, 2013
09/13

by
Alex E. Bernardini

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We report about stability conditions for static, spherically symmetric objects that share the essential features of mass varying neutrinos in cosmological scenarios. Compact structures of particles with variable mass are held together preponderantly by an attractive force mediated by a background scalar field. Their corresponding conditions for equilibrium and stability are given in terms of the ratio between the total mass-energy and the spherical lump radius, $M/R$. We show that the mass...

Source: http://arxiv.org/abs/1008.3559v1

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Sep 18, 2013
09/13

by
Alex E. Bernardini

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We shall proceed with the construction of normalizable Dirac wave packets for {\em fermionic} particles (neutrinos) with dynamics governed by a ``modified'' Dirac equation with a non-minimal coupling with an external magnetic field. We are not only interested on the analytic solutions of the ``modified'' Dirac wave equation but also on the construction of Dirac wave packets which can be used for describing the dynamics of some observable physical quantities which are relevant in the context of...

Source: http://arxiv.org/abs/hep-ph/0611342v1

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Sep 17, 2013
09/13

by
Alex E. Bernardini

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The stationary phase method is often employed for computing tunneling {\em phase} times of analytically-continuous {\em gaussian} or infinite-bandwidth step pulses which collide with a potential barrier. The indiscriminate utilization of this method without considering the barrier boundary effects leads to some misconceptions in the interpretation of the phase times. After reexamining the above barrier diffusion problem where we notice the wave packet collision necessarily leads to the...

Source: http://arxiv.org/abs/0711.4735v3

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Sep 21, 2013
09/13

by
Alex E. Bernardini

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Neutrinos coupled to an underlying scalar field in the scenario for unification of mass varying dark matter and cosmon-{\em like} dark energy is examined. In the presence of a tiny component of mass varying neutrinos, the conditions for the present cosmic acceleration and for the stability issue are reproduced. It is assumed that {\em sterile} neutrinos behave like mass varying dark matter coupled to mass varying {\em active} neutrinos through the {\em seesaw} mechanism, in a kind of {\em...

Source: http://arxiv.org/abs/1011.0768v1

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Sep 21, 2013
09/13

by
Alex E. Bernardini

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Using a generalized procedure for obtaining the equation of motion of a propagating fermionic particle, we examine previous claims for a lightlike preferred axis embedded in the framework of Lorentz-invariance violation with preserved algebra. In a high energy scale, the corresponding equation of motion is reduced to a conserving lepton number chiral (VSR) equation, and in a low energy scale, the Dirac equation for a free is recovered. The new dynamics introduces some novel ingredients...

Source: http://arxiv.org/abs/0706.3932v2

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Sep 21, 2013
09/13

by
Alex E. Bernardini

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Entropy changes due to delocalization and decoherence effects should modify the predictions for the cosmological neutrino background (C$\nu$B) temperature when one treats neutrino flavors in the framework of composite quantum systems. Assuming that the final stage of neutrino interactions with the $\gamma e^{-}e^{+}$ radiation plasma before decoupling works as a measurement scheme that projects neutrinos into flavor quantum states, the resulting free-streaming neutrinos can be described as a...

Source: http://arxiv.org/abs/1204.1504v3

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Sep 23, 2013
09/13

by
Alex E. Bernardini

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This report deals with the basic concepts on deducing transit times for quantum scattering: the stationary phase method and its relation with delay times for relativistic and non-relativistic tunneling particles. We notice that the applicability of this method is constrained by several subtleties in deriving the phase time that describes the localization of scattered wave packets. We investigate the general relation between phase times and dwell times for quantum tunneling/scattering....

Source: http://arxiv.org/abs/0903.2530v1

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Sep 20, 2013
09/13

by
Alex E. Bernardini

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In the framework of intermediate wave-packets for treating flavor oscillations, we quantify the modifications which appear when we assume a strictly peaked momentum distribution and consider the second-order corrections in a power series expansion of the energy. By following a sequence of analytic approximations, we point out that an extra time-dependent phase is merely the residue of second-order corrections. Such phase effects are usually ignored in the relativistic wave-packet treatment, but...

Source: http://arxiv.org/abs/hep-th/0601043v1

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Sep 21, 2013
09/13

by
Alex E. Bernardini

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After reexamining the above barrier diffusion problem where we notice that the wave packet collision implies the existence of {\em multiple} reflected and transmitted wave packets, we analyze the way of obtaining phase times for tunneling/reflecting particles in a particular colliding configuration where the idea of multiple peak decomposition is recovered. To partially overcome the analytical incongruities which frequently rise up when the stationary phase method is adopted for computing the...

Source: http://arxiv.org/abs/0706.3928v1

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Sep 21, 2013
09/13

by
Alex E. Bernardini

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Reporting about the density matrix theory for a composite quantum system of flavor eigenstates, we introduce the idea of flavor-weighted energies. It provides us with the right correlation between the energies of flavor eigenstates and their measurement probabilities. In addition, the apparent ambiguities which follow from computing flavor-averaged energies are suppressed. The framework of the generalized theory of quantum measurement also provides some theoretical tools for computing the...

Source: http://arxiv.org/abs/1104.3120v6

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Sep 21, 2013
09/13

by
Alex E. Bernardini

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We introduce the sequence of spontaneous symmetry breaking of a coupling between Pati-Salam and electroweak symmetries $SU(4)_{PS} \otimes SU(4)_{EW}$ in order to establish a mathematically consistent relation among the coupling constants at grand unification energy scale. With the values of baryon minus lepton quantum numbers of known quarks and leptons, by including right-handed neutrinos, we can find the mixing angle relations at different energy levels up to the electromagnetic $U(1)_{EM}$...

Source: http://arxiv.org/abs/0706.3931v1

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Jul 20, 2013
07/13

by
Alex E. Bernardini

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The general and explicit relation between the phase time and the dwell time for quantum tunneling of a relativistically propagating particle is investigated and quantified. In analogy with previously obtained non-relativistic results, it is shown that the group delay can be described in terms of the dwell time and a self-interference delay. Lessons concerning the phenomenology of the relativistic tunneling are drawn.

Source: http://arxiv.org/abs/0804.3212v1

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Sep 18, 2013
09/13

by
Alex E. Bernardini

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By reporting to the Dirac wave-packet prescription where it is formally assumed the {\em fermionic} nature of the particles, we shall demonstrate that chiral oscillations implicitly aggregated to the interference between positive and negative frequency components of mass-eigenstate wave-packets introduce some small modifications to the standard neutrino flavor conversion formula. Assuming the correspondent spinorial solutions of a ``modified'' Dirac equation, we are specifically interested in...

Source: http://arxiv.org/abs/hep-th/0606240v1

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28

Sep 18, 2013
09/13

by
Alex E. Bernardini

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We study the tunneling zone solutions of a one-dimensional electrostatic potential for the relativistic (Dirac to Klein-Gordon) wave equation when the incoming wave packet exhibits the possibility of being almost totally transmitted through the barrier. The transmission probabilities, the phase times and the dwell times for the proposed relativistic dynamics are obtained and the conditions for the occurrence of accelerated tunneling transmission are all quantified. We show that, in some...

Source: http://arxiv.org/abs/0803.0953v1

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Sep 21, 2013
09/13

by
Alex E. Bernardini; O. Bertolami

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We suggest a perturbative approach for generic choices for the universe equation of state and introduce a novel framework for studying mass varying neutrinos (MaVaN's) coupled to the dark sector. For concreteness, we examine the coupling between neutrinos and the underlying scalar field associated with the generalized Chaplygin gas (GCG), a unification model for dark energy and dark matter. It is shown that the application of a perturbative approach to MaVaN mechanisms translates into a...

Source: http://arxiv.org/abs/0712.1534v3

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Sep 23, 2013
09/13

by
Alex E. Bernardini; O. Bertolami

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In this work we examine the effect of phase-space noncommutativity on some typically quantum properties such as quantum beating, quantum information, and decoherence. To exemplify these issues we consider the two-dimensional noncommutative quantum harmonic oscillator whose components behavior we monitor in time. This procedure allows us to determine how the noncommutative parameters are related to the missing information quantified by the linear quantum entropy and by the mutual information...

Source: http://arxiv.org/abs/1303.0685v2

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Jul 20, 2013
07/13

by
Alex E. Bernardini; O. Bertolami

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An equivalence between Born-Infeld and effective real scalar field theories for brane structures is built in some specific warped space-time scenarios. Once the equations of motion for tachyon fields related to the Born-Infeld action are written as first-order equations, a simple analytical connection with a particular class of real scalar field superpotentials can be found. This equivalence leads to the conclusion that, for a certain class of superpotentials, both systems can support identical...

Source: http://arxiv.org/abs/1304.4138v2

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Sep 23, 2013
09/13

by
Alex E. Bernardini; O. Bertolami

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A novel routine to investigate the scalar fields in a cosmological context is discussed in the framework of the Hamiltonian formalism. Starting from the Einstein-Hilbert action coupled to a Lagrangian density that contains two components - one corresponding to a scalar field Lagrangian, ${\mathcal{L}}_{\phi}$, and another that depends on the scale parameter, ${\mathcal{L}}_{a}$ - one can identify a generalized Hamiltonian density from which first-order dynamical equations can be obtained. This...

Source: http://arxiv.org/abs/1212.0341v2

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Sep 19, 2013
09/13

by
Alex E. Bernardini; O. Bertolami

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The thermodynamic equilibrium conditions for compact structures composed by mass varying particles are discussed assuming that the so-called dynamical mass behaves like an additional extensive thermodynamic degree of freedom. It then follows that, such weakly interacting massive particles can form clusters of non-baryonic matter or even astrophysical objects that, at cosmological scales, are held together by gravity and by the attractive force mediated by a background scalar field. The...

Source: http://arxiv.org/abs/0909.1280v2

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31

Sep 19, 2013
09/13

by
Alex E. Bernardini; O. Bertolami

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The theoretical description of compact structures that share some key features with mass varying particles allows for a simple analysis of equilibrium and stability for massive stellar bodies. We investigate static, spherically symmetric solutions of Einstein equations for a system composed by nonbaryonic matter (neutrinos or dark matter) which forms stable structures through attractive forces mediated by a background scalar-field (dark energy). Assuming that the dark matter, or massive...

Source: http://arxiv.org/abs/0909.1541v2

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Sep 20, 2013
09/13

by
Alex E. Bernardini; O. Bertolami

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The Standard Model extension with additional Lorentz violating terms allows for redefining the equation of motion of a propagating left-handed fermionic particle. The obtained Dirac-type equation can be embedded in a generalized Lorentz-invariance preserving-algebra through the definition of Lorentz algebra-like generators with a light-like preferred axis. The resulting modification to the fermionic equation of motion introduces some novel ingredients to the phenomenological analysis of the...

Source: http://arxiv.org/abs/0802.2199v2

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Sep 20, 2013
09/13

by
Alex E. Bernardini; O. Bertolami

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The seesaw mechanism is conceived on the basis that a mass scale, $\xi$, and a dimensionless scale, $s$, can be fine-tuned in order to control the dynamics of active and sterile neutrinos through cosmon-type equations of motion: the seesaw cosmon equations. This allows for sterile neutrinos to be a dark matter candidate. In this scenario, the dynamical masses and energy densities of active and sterile neutrinos can be consistently embedded into the generalized Chaplygin gas (GCG), the unified...

Source: http://arxiv.org/abs/1002.0830v2

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1.0

Jun 30, 2018
06/18

by
Alex E. Bernardini; Mariana Chinaglia

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The quantum transition between shifted zero-mode wave functions is shown to be induced by the systematic deformation of topological and non-topological defects that support the $1$-dim double-well (DW) potential tunneling dynamics. The topological profile of the zero-mode ground state, $\psi_{0}$, and the first excited state, $\psi_{1}$, of DW potentials is obtained through the analytical technique of topological defect deformation. Deformed defects create two inequivalent topological scenarios...

Topics: Quantum Physics, High Energy Physics - Theory, Nonlinear Sciences, Pattern Formation and Solitons

Source: http://arxiv.org/abs/1409.1505

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1.0

Jun 30, 2018
06/18

by
Alex E. Bernardini; Mariana Chinaglia

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Quantum tunneling of the ground and first excited states in a quantum superposition driven by a novel analytical configuration of a double-well (DW) potential is investigated. Symmetric and asymmetric potentials are considered as to support quantum mechanical zero mode and first excited state analytical solutions. Reporting about a symmetry breaking that supports the quantum conversion of a zero-mode stable vacuum into an unstable tachyonic quantum state, two inequivalent topological scenarios...

Topics: High Energy Physics - Theory, Quantum Physics

Source: http://arxiv.org/abs/1701.03144

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Sep 18, 2013
09/13

by
Alex E. Bernardini; C. Dobrigikeit

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In this paper we propose a particular description of meson spectroscopy, with emphasis in heavy bound states like charmonia and bottomonia, after working on the main aspects of the construction of an effective potential model. We use the prerogatives from ``soft QCD'' to determine the effective potential terms, establishing the asymptotic Coulomb term from one gluon exchange approximation. At the same time, a linear confinement term is introduced in agreement with QCD and phenomenological...

Source: http://arxiv.org/abs/hep-ph/0611336v1

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Sep 20, 2013
09/13

by
Alex E. Bernardini; O. Bertolami

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A perturbative approach for arbitrary choices of the equation of state of the universe is introduced in order to treat scenarios for mass varying neutrinos (MaVaN's) coupled to the dark sector. The generalized criterion for the applicability of such an approach is expressed through a constraint on the coefficient of the linear perturbation on the dark sector scalar field. This coefficient depends on the ratio between the variation of the neutrino energy and the scalar field potential. Upon...

Source: http://arxiv.org/abs/0802.4449v2

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Sep 18, 2013
09/13

by
E. L. D. Perico; Alex E. Bernardini

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Modifications on the predictions about the matter power spectrum based on the hypothesis of a tiny contribution from a degenerate Fermi gas (DFG) test-fluid to some dominant cosmological scenario are investigated. Reporting about the systematic way of accounting for all the cosmological perturbations, through the Boltzmann equation we obtain the analytical results for density fluctuation, $\delta$, and fluid velocity divergence, $\theta$, of the DFG. Small contributions to the matter power...

Source: http://arxiv.org/abs/1102.3996v3

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0.0

Jun 29, 2018
06/18

by
Alex E. Bernardini; Roldao da Rocha

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Localization and mass spectrum of bosonic and fermionic matter fields of some novel families of asymmetric thick brane configurations generated by deformed defects are investigated. The localization profiles of spin 0, spin 1/2 and spin 1 bulk fields are identified for novel matter field potentials supported by thick branes with internal structures. The condition for localization is constrained by the brane thickness of each model such that thickest branes strongly induces matter localization....

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1606.05921

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2.0

Jun 30, 2018
06/18

by
D. Gora; E. Bernardini; A. Kappes

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Cherenkov telescopes have the capability of detecting high energy tau neutrinos in the energy range of 1--1000 PeV by searching for very inclined showers. If a tau lepton, produced by a tau neutrino, escapes from the Earth or a mountain, it will decay and initiate a shower in the air which can be detected by an air shower fluorescence or Cherenkov telescope. In this paper, we present detailed Monte Carlo simulations of corresponding event rates for the VERITAS and two proposed Cherenkov...

Topics: Instrumentation and Methods for Astrophysics, High Energy Astrophysical Phenomena, Astrophysics

Source: http://arxiv.org/abs/1402.4243

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Sep 19, 2013
09/13

by
Alex E. Bernardini; Roldao da Rocha

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We work on some general extensions of the formalism for theories which preserve the relativity of inertial frames with a nonlinear action of the Lorentz transformations on momentum space. Relativistic particle models invariant under the corresponding deformed symmetries are presented with particular emphasis on deformed dilatation transformations. The algebraic transformations relating the deformed symmetries with the usual (undeformed) ones are provided in order to preserve the Lorentz...

Source: http://arxiv.org/abs/hep-th/0701094v2

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Sep 23, 2013
09/13

by
Alex E. Bernardini; E. L. D. Perico

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The hypothesis of a tiny fraction of the cosmic inventory evolving cosmologically as a degenerate Fermi gas test fluid at some dominant cosmological background is investigated. Our analytical results allow for performing preliminary computations to the evolution of perturbations for relativistic and non-relativistic test fluids. The density fluctuation, $\delta$, the fluid velocity divergence, $\theta$, and an explicit expression for the dynamics of the shear stress, $\sigma$, are obtained for...

Source: http://arxiv.org/abs/1012.4500v2

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Sep 19, 2013
09/13

by
Alex E. Bernardini; Roldao da Rocha

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Using a generalized procedure for obtaining the dispersion relation and the equation of motion for a propagating fermionic particle, we examine previous claims for a preferred axis at $n_{\mu}$($\equiv(1,0,0,1)$), $n^{2}=0$ embedded in the framework of very special relativity (VSR). We show that, in a relatively high energy scale, the corresponding equation of motion is reduced to a conserving lepton number chiral equation previously predicted in the literature. Otherwise, in a relatively low...

Source: http://arxiv.org/abs/hep-th/0701092v2

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Sep 18, 2013
09/13

by
Alex E. Bernardini; Stefano De Leo

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We report about recent results on Dirac wave packets in the treatment of neutrino flavor oscillation where the initial localization of a spinor state implies an interference between positive and negative energy components of mass-eigenstate wave packets. A satisfactory description of fermionic particles requires the use of the Dirac equation as evolution equation for the mass-eigenstates. In this context, a new flavor conversion formula can be obtained when the effects of chiral oscillation are...

Source: http://arxiv.org/abs/hep-ph/0504239v1

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Sep 20, 2013
09/13

by
Alex E. Bernardini; Roldao da Rocha

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A systematic procedure for obtaining defect structures through cyclic deformation chains is introduced and explored in detail. The procedure outlines a set of rules for analytically constructing constraint equations that involve the finite localized energy of cyclically generated defects. The idea of obtaining cyclically deformed defects concerns the possibility of regenerating a primitive (departing) defect structure through successive, unidirectional, and eventually irreversible, deformation...

Source: http://arxiv.org/abs/1207.5237v3

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0.0

Jun 29, 2018
06/18

by
Alex E. Bernardini; Roldao da Rocha

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P\"oschl-Teller-driven solutions for quantum mechanical fluctuations are triggered off by single scalar field theories obtained through a systematic perturbative procedure for generating deformed defects. The analytical properties concerning the quantum fluctuations in one-dimension, zero-mode states, first- and second- excited states, and energy density profiles are all obtained from deformed topological and non-topological structures supported by real scalar fields. Results are firstly...

Topics: High Energy Physics - Theory, Quantum Physics

Source: http://arxiv.org/abs/1605.02122

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Jul 20, 2013
07/13

by
Alex E. Bernardini; Roldao da Rocha

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An intrinsic mass generation mechanism for exotic ELKO dark matter fields is scrutinized, in the context of the very special relativity (VSR). Our results are reported on unraveling inequivalent spin structures that educe an additional term on the associated Dirac operator. Contrary to the spinor fields of mass dimension 3/2, this term is precluded to be absorbed as a shift of some gauge vector potential, regarding the equations for the dark spinor fields. It leads to some dynamical constraints...

Source: http://arxiv.org/abs/1203.1049v2

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Sep 23, 2013
09/13

by
Alex E. Bernardini; Stefano De Leo

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In the standard treatment of particle oscillations the mass eigenstates are implicitly assumed to be scalars and, consequently, the spinorial form of neutrino wave functions is not included in the calculations. To analyze this additional effect, we discuss the oscillation probability formula obtained by using the Dirac equation as evolution equation for the neutrino mass eigenstates. The initial localization of the spinor state also implies an interference between positive and negative energy...

Source: http://arxiv.org/abs/hep-ph/0411153v1

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2.0

Jun 30, 2018
06/18

by
Alex E. Bernardini; Salomon S. Mizrahi

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Dirac equation describes the dynamics of a relativistic spin-1/2 particle regarding its spatial motion and intrinsic degrees of freedom. Here we adopt the point of view that the spinors describe the state of a massive particle carrying two qubits of information: helicity and intrinsic parity. We show that the density matrix for a gas of free fermions, in thermal equilibrium, correlates helicity and intrinsic parity. Our results introduce the basic elements for discussing the spin-parity...

Topics: Quantum Physics, High Energy Physics - Theory, High Energy Physics - Phenomenology

Source: http://arxiv.org/abs/1404.5576

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5.0

Jun 26, 2018
06/18

by
Alex E. Bernardini; Salomon S. Mizrahi

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The effect of phase space general noncommutativity on producing deformed coherent squeezed states is examined. A two-dimensional noncommutative quantum system supported by a deformed mathematical structure similar to that of Hadamard billiards is obtained and their components behavior are monitored in time. It is assumed that the independent degrees of freedom are two \emph{free} 1D harmonic oscillators (HO's), so the system Hamiltonian does not contain interaction terms. Through the...

Topics: Quantum Physics, High Energy Physics - Theory

Source: http://arxiv.org/abs/1501.03661

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29

Sep 21, 2013
09/13

by
Alex E. Bernardini; Marcelo M. Guzzo

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Reporting about the formalism with the Dirac equation we describe the dynamics of chiral oscillations for a fermionic particle non-minimally coupling with an external magnetic field. For massive particles, the chirality and helicity quantum numbers represent different physical quantities of representative importance in the study of chiral interactions, in particular, in the context of neutrino physics. After solving the interacting Hamiltonian (Dirac) equation for the corresponding {\em...

Source: http://arxiv.org/abs/0706.3926v2