73
73

Sep 18, 2013
09/13

by
H. C. Rosu

texts

######
eye 73

######
favorite 0

######
comment 0

Heuristic insights into a physical picture of Davydov's solitonic model of the one-dimensional protein chain are presented supporting the idea of a non-equilibrium competition between the Davydov phase and a complementary, dynamical- `ferroelectric' phase along the chain

Source: http://arxiv.org/abs/cond-mat/9510019v3

164
164

Jul 20, 2013
07/13

by
H. C. Rosu

texts

######
eye 164

######
favorite 0

######
comment 0

I present an elementary essay on some issues related to nonrelativistic quantum mechanics, which is written in the spirit of extreme simplicity, making it an easy-to-read paper. Moreover, one can find a useful collection of ideas and opinions expressed by many well-known authors in this vast research field

Source: http://arxiv.org/abs/gr-qc/9411035v5

40
40

Sep 20, 2013
09/13

by
H. C. Rosu

texts

######
eye 40

######
favorite 0

######
comment 0

If the dynamic instability of microtubules follows a gamma distribution then one can associate to it a Cantor set

Source: http://arxiv.org/abs/physics/9610017v2

84
84

Sep 24, 2013
09/13

by
H. C. Rosu

texts

######
eye 84

######
favorite 0

######
comment 0

This is a short note on the black hole remote-sensing problem, i.e., finding out `surface' temperature distributions of various types of small (micron-sized) black holes from the spectral measurements of their Hawking grey pulses. Chen's modified Moebius inverse transform is illustrated in this context

Source: http://arxiv.org/abs/gr-qc/9408039v4

46
46

Sep 18, 2013
09/13

by
H. C. Rosu

texts

######
eye 46

######
favorite 0

######
comment 0

Following Grischuk and Sidorov [Phys. Rev. D 42 (1990) 3413] in putting the Bogolubov-Hawking coefficient of Schwarzschild black-holes in the squeezing perspective, we provide a short discussion of Schwarzschild black holes as radiometric standards

Source: http://arxiv.org/abs/gr-qc/9710116v1

54
54

Sep 18, 2013
09/13

by
H. C. Rosu

texts

######
eye 54

######
favorite 0

######
comment 0

The connection of unbroken SUSY quantum mechanics in its strictly isospectral form with the nonlinear Riccati superposition principle is pointed out

Source: http://arxiv.org/abs/quant-ph/9809021v3

37
37

Sep 23, 2013
09/13

by
H. C. Rosu

texts

######
eye 37

######
favorite 0

######
comment 0

The formal Ermakov approach for empty FRW minisuperspace cosmological models of arbitrary Hartle-Hawking factor ordering and the corresponding squeezing features are briefly discussed as a possible means of describing cosmological evolution

Source: http://arxiv.org/abs/gr-qc/9806075v1

44
44

Sep 23, 2013
09/13

by
H. C. Rosu

texts

######
eye 44

######
favorite 0

######
comment 0

In the hybrid skyrmion in which an Anti-de Sitter bag is imbedded into the skyrmion configuration a S^{1}\times S^{2} membrane is lying on the compactified spatial infinity of the bag [H. Rosu, Nuovo Cimento B 108, 313 (1993)]. The connection between the quark degrees of freedom and the mesonic ones is made through the membrane, in a way that should still be clarified from the standpoint of general relativity and topology. The S^1 \times S^2 membrane as a 3-dimensional manifold is at the same...

Source: http://arxiv.org/abs/gr-qc/9406017v2

37
37

Sep 23, 2013
09/13

by
H. C. Rosu

texts

######
eye 37

######
favorite 0

######
comment 0

Within unbroken SUSYQM and for zero factorization energy, I present an iterative generalization of Mielnik's isospectral method by employing a Schroedinger true zero mode in the first-step general Riccati solution and imposing the physical condition of normalization at each iterative step. This procedure leads to a well-defined multiple-parameter structure within Mielnik's construction for both zero modes and potentials

Source: http://arxiv.org/abs/quant-ph/9904007v8

37
37

Sep 19, 2013
09/13

by
H. C. Rosu

texts

######
eye 37

######
favorite 0

######
comment 0

In the scattering picture, thermal radiation effects may be associated with the `above barrier' reflection coefficient, which comes into play because of complex turning points. This note contains several general remarks on the application of the above statement to Schwarzschild black hole radiance

Source: http://arxiv.org/abs/gr-qc/9405072v2

102
102

Jul 20, 2013
07/13

by
H. C. Rosu

texts

######
eye 102

######
favorite 0

######
comment 0

This is a Physics World features paper on Chen-Tajima proposal to detect Unruh radiation by means of high-intensity lasers (PRL 83, 256 (1999)).

Source: http://arxiv.org/abs/physics/9910015v1

64
64

Sep 22, 2013
09/13

by
H. C. Rosu

texts

######
eye 64

######
favorite 0

######
comment 0

A one-parameter family of time dependent adiabatic indices is introduced for any given type of cosmological fluid of constant adiabatic index by a mathematical method belonging to the class of Darboux transformations. The procedure works for zero cosmological constant at the price of introducing a new constant parameter related to the time dependence of the adiabatic index. These fluids can be the real cosmological fluids that are encountered at cosmological scales and they could be used as a...

Source: http://arxiv.org/abs/gr-qc/0003108v6

39
39

Sep 19, 2013
09/13

by
H. C. Rosu

texts

######
eye 39

######
favorite 0

######
comment 0

The quantum oscillator thermodynamic actions are the conjugate intensive parameters for the frequency in any frequency changing process. These oscillator actions fulfill simple Riccati equations. Interesting Darboux transformations of the fundamental Planck and pure vacuum actions are discussed here in some detail. It is shown that the one-parameter "Darboux-Transformed-Thermodynamics" refers to superpositions of boson and fermion excitations of positive and negative absolute...

Source: http://arxiv.org/abs/math-ph/0208013v1

39
39

Sep 18, 2013
09/13

by
H. C. Rosu

texts

######
eye 39

######
favorite 0

######
comment 0

Using a version of Witten's supersymmetric quantum mechanics proposed by Caticha, we relate Montroll's kink to a traveling, asymmetric Morse double-well potential suggesting in this way a connection between kink modes and vibrational degrees of freedom along microtubules

Source: http://arxiv.org/abs/cond-mat/9606109v3

58
58

Sep 22, 2013
09/13

by
H. C. Rosu

texts

######
eye 58

######
favorite 0

######
comment 0

In the pure essay style (no mathematical formulas), I present a number of speculative reflections and suggestions on possible applications of mesoscopic methods and of quantum mechanical concepts to as such a complex system as the human brain. As an initial guide for this essay I used ``The Emperor's New Mind" of Roger Penrose

Source: http://arxiv.org/abs/gr-qc/9409007v3

58
58

Sep 19, 2013
09/13

by
H. C. Rosu

texts

######
eye 58

######
favorite 0

######
comment 0

The paradigmatic Unruh radiation is an ideal and simple case of stationary scalar vacuum radiation patterns related to worldlines defined as Frenet-Serret curves. We briefly review the corresponding body of theoretical literature as well as the proposals that have been suggested to detect these types of quantum field radiation patterns

Source: http://arxiv.org/abs/hep-th/0303257v1

38
38

Sep 18, 2013
09/13

by
H. C. Rosu

texts

######
eye 38

######
favorite 0

######
comment 0

A comparison between the proposals made to measure Hawking-like effects and the Unruh effect in the laboratory is given at the level of their estimates. No satisfactory scheme exists as yet for their detection.

Source: http://arxiv.org/abs/gr-qc/9605032v1

29
29

Sep 23, 2013
09/13

by
H. C. Rosu

texts

######
eye 29

######
favorite 0

######
comment 0

A simple version of the q-deformed calculus is used to generate a pair of q-nonlocal, second-order difference operators by means of deformed counterparts of Darboux intertwining operators for zero factorization energy. These deformed non-local operators may be considered as supersymmetric partners and their structure contains contributions originating in both the Hermite operator and the quantum harmonic oscillator operator. There are also extra $\pm x$ contributions. The undeformed limit, in...

Source: http://arxiv.org/abs/quant-ph/9904046v2

31
31

Sep 23, 2013
09/13

by
H. C. Rosu

texts

######
eye 31

######
favorite 0

######
comment 0

The Hawking effect and the Unruh effect are two of the most important predictions in the theoretical physics of the last quarter of the 20th century. In parallel to the theoretical investigations there is great interest in the possibility of revealing effects of this type in some sort of experiments. I present a general discussion of the proposals to measure the Hawking and Unruh effects and/or their `analogues' in the laboratory, and I make brief comments on each of them. The reader may also...

Source: http://arxiv.org/abs/gr-qc/9406012v6

42
42

Sep 21, 2013
09/13

by
H. C. Rosu

texts

######
eye 42

######
favorite 0

######
comment 0

The main theme of this survey is the equivalence statements for quantum scalar field vacuum states that have been recognized over the last couple of decades as a powerful line of reasoning when discussing the highly academic thermal-like Hawking effect and Unruh effect. An important ingredient in this framework is the concept of vacuum field noise spectrum by which one can obtain information about the curvature invariants of classical worldlines (relativistic classical trajectories). It is...

Source: http://arxiv.org/abs/gr-qc/9905049v2

646
646

Sep 23, 2013
09/13

by
H. C. Rosu

texts

######
eye 646

######
favorite 1

######
comment 0

This is the English version of a friendly graduate course on Classical Mechanics, containing about 80% of the material I covered during the January-June 1999 semester at IFUG in the Mexican city of Leon. For the Spanish version, see physics/9906066

Source: http://arxiv.org/abs/physics/9909035v1

272
272

Sep 18, 2013
09/13

by
H. C. Rosu

texts

######
eye 272

######
favorite 0

######
comment 0

Excerpts are presented from a graduate course on Classical Electrodynamics held during the spring semester of 2000 at the Institute of Physics, Guanajuato State University, Mexico

Source: http://arxiv.org/abs/physics/0005019v1

83
83

Sep 19, 2013
09/13

by
H. C. Rosu

texts

######
eye 83

######
favorite 0

######
comment 0

A short review of Schroedinger hamiltonians for which the spectral problem has been related in the literature to the distribution of the prime numbers is presented here. We notice a possible connection between prime numbers and centrifugal inversions in black holes and suggest that this remarkable link could be directly studied within trapped Bose-Einstein condensates. In addition, when referring to the factorizing operators of Pitkanen and Castro and collaborators, we perform a mathematical...

Source: http://arxiv.org/abs/quant-ph/0304139v4

167
167

Sep 18, 2013
09/13

by
H. C. Rosu

texts

######
eye 167

######
favorite 0

######
comment 0

A simple, general discussion of the problem of inertia is provided both in classical physics and in the quantum world. After briefly reviewing the classical principles of equivalence (weak (WEP), Einstein (EEP), strong (SEP)), I pass to a presentation of several equivalence statements in nonrelativistic quantum mechanics and for quantum field vacuum states. It is suggested that a reasonable type of preferred quantum field vacua may be considered: those possessing stationary spectra of their...

Source: http://arxiv.org/abs/gr-qc/9412012v4

30
30

Jul 20, 2013
07/13

by
H. C. Rosu

texts

######
eye 30

######
favorite 0

######
comment 0

This is a short note on the spatiotemporal complexity of the dynamical state(s) of the universe at subhorizon scales (up to 300 Mpc). There are reasons, based mainly on infrared radiative divergences, to believe that one can encounter a flicker noise in the time domain, while in the space domain, the scaling laws are reflected in the (multi)fractal distribution of galaxies and their clusters. There exist recent suggestions on a unifying treatment of these two aspects within the concept of...

Source: http://arxiv.org/abs/astro-ph/9411112v2

40
40

Jul 20, 2013
07/13

by
H. C. Rosu

texts

######
eye 40

######
favorite 0

######
comment 0

Short remarks on the problem of assigning frequency spectra to Casimir, sonoluminescence, Hawking, Unruh, and quantum optical squeezing effects are presented

Source: http://arxiv.org/abs/gr-qc/9411053v3

345
345

Sep 22, 2013
09/13

by
H. C. Rosu

texts

######
eye 345

######
favorite 0

######
comment 0

This is the first graduate course on elementary quantum mechanics in Internet written in Romanian for the benefit of Romanian speaking students (Romania and Moldova). It is a translation (with corrections) of the Spanish version of the course (physics/9808031, English translation physics/0004072), which I did at the request of students of physics in Bucharest. The topics included refer to the postulates of quantum mechanics, one-dimensional barriers and wells, angular momentum and spin, WKB...

Source: http://arxiv.org/abs/physics/0003106v2

41
41

Sep 21, 2013
09/13

by
H. C. Rosu

texts

######
eye 41

######
favorite 0

######
comment 0

We discuss the proposal of Bell and Leinaas (BL) to measure the circular Unruh effect in storage rings. The ideal concept `circular Unruh effect' has a more realistic correspondent such as `circular vacuum noise' used by Shin Takagi [Prog. Theor. Phys. Suppl. 88, 1 (1986)] The BL resonance behavior does not fit to the SPEAR first order betatron resonance at 3.605 GeV, but of course, the real experimental situation is much more complicated, corresponding, as a matter of fact, to an even more...

Source: http://arxiv.org/abs/physics/9711015v1

27
27

Sep 18, 2013
09/13

by
H. C. Rosu

texts

######
eye 27

######
favorite 0

######
comment 0

The bosonic strictly isospectral problem for Demkov-Ostrovsky (DO) effective potentials in the radially nodeless sector is first solved in the supersymmetric Darboux-Witten (DW) half line (or l-changing) procedure. As an application, for the \kappa =1 class, if one goes back to optics examples, it might be possible to think of a one-parameter family of Maxwell lenses having the same optical scattering properties in the nodeless radial sector. Although the relative changes in the index of...

Source: http://arxiv.org/abs/quant-ph/9601019v6

60
60

Sep 22, 2013
09/13

by
H. C. Rosu

texts

######
eye 60

######
favorite 0

######
comment 0

I discuss the digital disorder introduced by Rosu and Canessa [Phys. Rev. E 47, R3818 (1993)] in the Davydov model of energy diffusion along \alpha-helix protein chains. The digitally disordered Davydov beta kinks display self-organized features, i.e., power law correlations both in time and space, that may be attributed to incipient dynamic structural changes of the protein chain as a consequence of coarse-graining the fluctuations due to microscopic degrees of freedom. In this paper, I...

Source: http://arxiv.org/abs/cond-mat/9410034v2

39
39

Sep 22, 2013
09/13

by
H. C. Rosu

texts

######
eye 39

######
favorite 0

######
comment 0

Applying standard mathematical methods, it is explicitly shown how the Riccati equation for the Hubble parameter H(\eta) of barotropic open FRW cosmologies is connected with a Korteweg-de Vries equation for adiabatic index solitons. It is also shown how one can embed a discrete sequence of adiabatic indices of the type n^2({3/2}\gamma -1)^2 (\gamma \neq 2/3) in the sech FRW adiabatic index soliton

Source: http://arxiv.org/abs/gr-qc/0111002v1

91
91

Sep 19, 2013
09/13

by
H. C. Rosu

texts

######
eye 91

######
favorite 0

######
comment 0

Aristotle was the first to declare himself in the class of natural philosophers ({\em physiologoi}) and he was the first physicist because he spelled out the first definitions of some basic physical concepts. Moreover, he was the first encyclopedist of the world and perhaps the greatest

Source: http://arxiv.org/abs/physics/0209063v1

86
86

Sep 18, 2013
09/13

by
H. C. Rosu

texts

######
eye 86

######
favorite 0

######
comment 0

A number of comments are provided on Rogers's model experiment to measure the circular Unruh vacuum noise by means of a hyperbolic Penning trap inside a microwave cavity. It is suggested that cylindrical Penning traps, being geometrically simpler, and controlled almost at the same level of accuracy as the hyperbolic trap, might be a better choice for such an experiment. Besides, the microwave modes of the trap itself, of known analytical structure, can be directly used in trying to obtain...

Source: http://arxiv.org/abs/quant-ph/9509017v3

97
97

Sep 18, 2013
09/13

by
H. C. Rosu

texts

######
eye 97

######
favorite 0

######
comment 0

I comment on a number of theoretical issues related to magnetobremsstrahlung, and especially on synchrotron radiation and Unruh (temperature) radiation, that I consider of importance for the current progress towards a better understanding of the stationary features of such fundamental radiation patterns both in an accelerator context and, more generally, in the physical world

Source: http://arxiv.org/abs/gr-qc/9412033v3

81
81

Sep 20, 2013
09/13

by
H. C. Rosu

texts

######
eye 81

######
favorite 0

######
comment 0

The paradigmatic Unruh radiation is an ideal and simple case of stationary vacuum radiation patterns related to worldlines defined as Frenet-Serret curves. We review the corresponding body of literature as well as the experimental proposals that have been suggested to detect these types of quantum field radiation patterns. Finally, we comment on a few other topics related to the Unruh effect

Source: http://arxiv.org/abs/hep-th/0301128v1

43
43

Jul 20, 2013
07/13

by
H. C. Rosu

texts

######
eye 43

######
favorite 0

######
comment 0

A picture of the Planck scale universe as a network of mesoscopic (with respect to that scale) resonators connected through quasi-one-dimensional waveguides is presented

Source: http://arxiv.org/abs/gr-qc/9712023v1

31
31

Sep 23, 2013
09/13

by
H. C. Rosu

texts

######
eye 31

######
favorite 0

######
comment 0

One can find some comments related to the isospectral issue

Source: http://arxiv.org/abs/quant-ph/9608017v1

42
42

Jul 20, 2013
07/13

by
H. C. Rosu

texts

######
eye 42

######
favorite 0

######
comment 0

If at least some Wheeler-DeWitt solutions can be interpreted as zero-energy resonances then the total s-wave cross section of the corresponding quantum universes is infinite

Source: http://arxiv.org/abs/gr-qc/9712072v2

36
36

Sep 18, 2013
09/13

by
H. C. Rosu

texts

######
eye 36

######
favorite 0

######
comment 0

Zero point quantum fluctuations as seen from non-inertial reference frames are of interest for several reasons. In particular, because phenomena such as Unruh radiation (acceleration radiation) and Hawking radiation (quantum leakage from a black hole) depend intrinsically on both quantum zero-point fluctuations and some appropriate notion of an accelerating vacuum state, any experimental test of zero-point fluctuations in non-inertial frames is implicitly a test of the foundations of quantum...

Source: http://arxiv.org/abs/gr-qc/0012083v3

46
46

Sep 19, 2013
09/13

by
H. C. Rosu

texts

######
eye 46

######
favorite 0

######
comment 0

I employ heuristically the strictly isospectral double Darboux method based on the general superpotential of unbroken nonrelativistic supersymmetry suggesting a few small steps of principle for extending its range of applications toward relativistic (gauge) physics. The application of the method to minisuperspace quantum cosmology is also briefly presented

Source: http://arxiv.org/abs/gr-qc/9804047v4

86
86

Jul 20, 2013
07/13

by
H. C. Rosu

texts

######
eye 86

######
favorite 0

######
comment 0

I discuss a phenomenological model of the nucleon in which a small anti-de Sitter bag is placed into the Skyrmion configuration. Such a bag has a timelike boundary and allows naturally the Cheshire Cat Principle. Very important in this model is the membrane of the bag, the 3-dimensional time-space manifold S^{1}\times S^{2}, in which topological techniques will come into play

Source: http://arxiv.org/abs/gr-qc/9411051v2

48
48

Sep 19, 2013
09/13

by
H. C. Rosu

texts

######
eye 48

######
favorite 0

######
comment 0

The "circulatory wave" ("die zirkulierende Welle") put into evidence in 1949 by Wolter (Wolter's vortex) in total reflection is interpreted as a phase defect in the scalar theory of Green and Wolf of 1953, which is the Madelung (hydrodynamic) representation of the optical field. Some comments are added on its possible relevance for the Hamamatsu experiment aimed to clarify the wave-particle duality at the "single photon" level of down-converted laser beams

Source: http://arxiv.org/abs/quant-ph/9506015v3

46
46

Sep 21, 2013
09/13

by
H. C. Rosu

texts

######
eye 46

######
favorite 0

######
comment 0

I present the factorization(s) of the Wheeler-DeWitt equation for vacuum FRW minisuperspace universes of arbitrary Hartle-Hawking factor ordering, including the so-called strictly isospectral supersymmetric method. By the latter means, one can introduce an infinite class of singular FRW minisuperspace wavefunctions characterized by a Darboux parameter that mathematically speaking is a Riccati integration constant, while physically determines the position of these strictly isospectral...

Source: http://arxiv.org/abs/gr-qc/9705068v5

34
34

Sep 20, 2013
09/13

by
H. C. Rosu

texts

######
eye 34

######
favorite 0

######
comment 0

I report a study of the nonstationary one-dimensional Fokker-Planck solutions by means of the strictly isospectral method of supesymmetric quantum mechanics. The main conclusion is that this technique can lead to a space-dependent (modulational) damping of the spatial part of the nonstationary Fokker-Planck solutions, which I call strictly isospectral damping. At the same time, using an additive decomposition of the nonstationary solutions suggested by the strictly isospectral procedure and by...

Source: http://arxiv.org/abs/cond-mat/9610049v2

43
43

Sep 19, 2013
09/13

by
H. C. Rosu

texts

######
eye 43

######
favorite 0

######
comment 0

I point out the similarity between the microtubule experiment reported by Priel et al [Biophys. J. 90, 4639 (2006)] and the ZnO nanowire experiment of Wang et al [Nanolett. 6, 2768 (2006)]. It is quite possible that MTs are similar to a piezoelectric field effect transistor for which the role of the control gate electrode is played by the piezo-induced electric field across the width of the MT walls and their elastic bending features

Source: http://arxiv.org/abs/q-bio/0703055v1

46
46

Sep 23, 2013
09/13

by
H. C. Rosu

texts

######
eye 46

######
favorite 0

######
comment 0

Hawking ``thermal'' radiation could be a means to detect black holes of micron sizes, which may be hovering through the universe. We consider these micro-black holes to be distorted by the presence of some distribution of matter representing a convolution factor for their Hawking radiation. One may hope to determine from their Hawking signals the temperature distribution of their material shells by the inverse black body problem. In 1990, Nan-xian Chen has used a so-called modified...

Source: http://arxiv.org/abs/gr-qc/9511013v1

60
60

Sep 20, 2013
09/13

by
H. C. Rosu

texts

######
eye 60

######
favorite 0

######
comment 0

Many living organisms on Earth are strongly dependent on water, the natural liquid of the planet. A possible reason for that could be the conjecture of Ryoji Takahashi [Phys. Lett. A 141, 15 (1989)] that water microdrops release negentropy through a phase transition to a phase with zero surface tension. Biological cells could make use of such a phase transition in their duty cycle. We comment on the relative merit of this conjecture, and present it in wider theoretical context.

Source: http://arxiv.org/abs/physics/9610013v2

58
58

Sep 21, 2013
09/13

by
H. C. Rosu

texts

######
eye 58

######
favorite 0

######
comment 0

I apply (i) a classical version of the Ermakov-Lewis procedure and (ii) the strictly isospectral supersymmetric approach to the Schroedinger free fall of the bouncing ball type. In both cases, the Airy function Bi, which in general is eliminated as being unphysical, plays a well-defined role. Relevant plots are displayed

Source: http://arxiv.org/abs/quant-ph/0104003v2

67
67

Sep 23, 2013
09/13

by
H. C. Rosu

texts

######
eye 67

######
favorite 0

######
comment 0

A small collection of general facts related to DNA is presented

Source: http://arxiv.org/abs/cond-mat/9608014v2

75
75

Sep 18, 2013
09/13

by
H. C. Rosu

texts

######
eye 75

######
favorite 0

######
comment 0

A selective chronological survey of Darboux transformations as related to supersymmetric quantum mechanics, intertwining operators and inverse scattering techniques is presented. Short comments are appended to each quotation and basic concepts are explained in order to provide a useful primer

Source: http://arxiv.org/abs/quant-ph/9809056v3