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6.0

Jun 25, 2018
06/18

by
Francesco D'Andrea; Ludwik Dabrowski

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We discuss some properties of the spectral triple $(A_F,H_F,D_F,J_F,\gamma_F)$ describing the internal space in the noncommutative geometry approach to the Standard Model, with $A_F=\mathbb{C}\oplus\mathbb{H}\oplus M_3(\mathbb{C})$. We show that, if we want $H_F$ to be a Morita equivalence bimodule between $A_F$ and the associated Clifford algebra, two terms must be added to the Dirac operator; we then study its relation with the orientability condition for a spectral triple. We also illustrate...

Topics: Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.00156

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12

Jun 25, 2018
06/18

by
Nicolae Strungaru

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In the first part, we construct a cut and project scheme from a family $\{P_\varepsilon\}$ of sets verifying four conditions. We use this construction to characterize weighted Dirac combs defined by cut and project schemes and by continuous functions on the internal groups in terms of almost periodicity. We are also able to characterise those weighted Dirac combs for which the internal function is compactly supported. Lastly, using the same cut and project construction for $\varepsilon$-dual...

Topics: Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.00945

11
11

Jun 25, 2018
06/18

by
Johannes Löffler

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This paper adds some details to the seminal approach to logarithmic formality \cite{AWRT} and interpolation formality \cite{WR} by Alekseev, Rossi, Torossian and Willwacher: We prove that the interpolation family of Kontsevich formality maps extends to Shoikhet-Tsygan formality and a complex interpolation parameter. We show some elementary relations satisfied by this polynomials. We also compute some Kontsevich integral weights and reason on the number theoretic meaning of the invariance of...

Topics: Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.01156

11
11

Jun 25, 2018
06/18

by
Guenther Hörmann

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Vickers and Wilson (see Ref. 25) have shown global hyperbolicity of the conical spacetime in the sense of well-posedness of the initial value problem for the wave equation in generalized functions. We add the aspect of metric splitting and preliminary thoughts on Cauchy hypersurfaces and causal curves.

Topics: Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.00672

10
10.0

Jun 25, 2018
06/18

by
Ben Anthonis

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In this dissertation, an abstract formalism extending information geometry is introduced. This framework encompasses a broad range of modelling problems, including possible applications in machine learning and in the information theoretical foundations of quantum theory. Its purely geometrical foundations make no use of probability theory and very little assumptions about the data or the models are made. Starting only from a divergence function, a Riemannian geometrical structure consisting of...

Topics: Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.00853

5
5.0

Jun 25, 2018
06/18

by
J. L. Flores; J. Herrera; M. Sanchez

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There are several ideal boundaries and completions in General Relativity sharing the topological property of being sequential, i.e., determined by the convergence of its sequences and, so, by some limit operator $L$. As emphasized in a classical article by Geroch, Liang and Wald, some of them have the property, commonly regarded as a drawback, that there are points of the spacetime $M$ non $T_1$-separated from points of the boundary $\partial M$. Here we show that this problem can be solved...

Topics: Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.00689

8
8.0

Jun 25, 2018
06/18

by
A. Marchesiello; S. Post; L. Šnobl

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The conditions for superintegrable systems in two-dimensional Euclidean space admitting separation of variables in an orthogonal coordinate system and a functionally independent third-order integral are studied. It is shown that only systems that separate in subgroup type coordinates, Cartesian or polar, admit potentials that can be described in terms of nonlinear special functions. Systems separating in parabolic or elliptic coordinated are shown to have potentials with only non-movable...

Topics: Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.00470

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13

Jun 25, 2018
06/18

by
S. Post; P. Winternitz

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The general form of an integral of motion that is a polynomial of order N in the momenta is presented for a Hamiltonian system in two-dimensional Euclidean space. The classical and the quantum cases are treated separately, emphasizing both the similarities and the differences between the two. The main application will be to study Nth order superintegrable systems that allow separation of variables in the Hamilton-Jacobi and Schr\"odinger equations, respectively.

Topics: Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.00471

10
10.0

Jun 25, 2018
06/18

by
Reiho Sakamoto

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We continue the rigged configurations analysis of the solutions to the Bethe ansatz equations for the spin-1/2 isotropic Heisenberg model. We analyze the non self-conjugate strings of Deguchi-Giri and the counter example for the string hypothesis discovered by Essler-Korepin-Schoutens. In both cases clear discrete structures appear.

Topics: Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.00532

8
8.0

Jun 25, 2018
06/18

by
W. A. Zúñiga-Galindo

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We construct p-adic Euclidean random fields {\Phi} over Q_{p}^{N}, for arbitrary N, these fields are solutions of p-adic stochastic pseudodifferential equations. From a mathematical perspective, the Euclidean fields are generalized stochastic processes parametrized by functions belonging to a nuclear countably Hilbert space, these spaces are introduced in this article, in addition, the Euclidean fields are invariant under the action of certain group of transformations. We also study the...

Topics: Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.00707

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Jun 25, 2018
06/18

by
Joachim Asch; Olivier Bourget; Cédric Meresse

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We consider the magnetic AC Stark effect for the quantum dynamics of a single particle in the plane under the influence of an oscillating homogeneous electric and a constant perpendicular magnetic field. We prove that the electron cyclotron resonance is insensitive to impurity potentials.

Topics: Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.00038

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Jun 25, 2018
06/18

by
Patrick Kayupe Kikodio; Zouhair Mouayn

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We construct a new class of coherent states labeled by points z of the complex plane and depending on three numbers (gamma, nu) and epsilon positive by replacing the coefficients of the canonical coherent states by Laguerre polynomials. These states are superpositions of eigenstates of the symmetric Poschl-Teller oscillator and they solve the identity of the states Hilbert space at the limit epsilon goes to 0. Their wavefunctions are obtained in a closed form for a special case of parameters...

Topics: Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.00895

6
6.0

Jun 25, 2018
06/18

by
A. V. Soldatov

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It was shown that an infinite sequence of improving non-increasing upper bounds to the ground state energy (GSE) of a slow-moving piezoeletric polaron can be devised.

Topics: Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.00193

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4.0

Jun 25, 2018
06/18

by
Manuel F. Ranada

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The properties of the Tremblay-Turbiner-Winternitz system (related to the harmonic oscillator) were recently studied on the two-dimensional spherical $S_{\kappa}^2$ ($\kappa>0$) and hiperbolic $H_{\kappa}^2$ ($\kappa 0$ and $\kappa

Topics: Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.01258

10
10.0

Jun 25, 2018
06/18

by
Karol Makuch; Przemysław Górka

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Multipole matrix elements of Green function of Laplace equation are calculated. The multipole matrix elements of Green function in electrostatics describe potential on a sphere which is produced by a charge distributed on the surface of a different (possibly overlapping) sphere of the same radius. The matrix elements are defined by double convolution of two spherical harmonics with the Green function of Laplace equation. The method we use relies on the fact that in the Fourier space the double...

Topics: Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.00396

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Jun 25, 2018
06/18

by
Ho Lee

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We consider the Born-Infeld nonlinear electromagnetic field equations and study its Cauchy problem in the case that the Vlasov equation is considered as a matter model. In the present paper, the Vlasov equation is considered on the so-called one and one-half dimensional phase space, and in consequence the Born-Infeld equations are reduced to a quasilinear hyperbolic system with two unknowns. A transformation is introduced in order to make the field equations easy to handle, and suitable...

Topics: Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.01065

8
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Jun 25, 2018
06/18

by
V. V. Sreedhar

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A general method for deriving exact expressions for vector potentials produced by arbitrarily knotted solenoids is presented. It consists of using simple physics ideas from magnetostatics to evaluate the magnetic field in a surrogate problem. The latter is obtained by modelling the knot with wire segments carrying steady currents on a cubical lattice. The expressions for a 31 (trefoil) and a 41 (figure-eight) knot are explicitly worked out. The results are of some importance in the study of the...

Topics: Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.01095

10
10.0

Jun 25, 2018
06/18

by
Sanjay Ramawadh; Stephen James Tate

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In this paper, we use tree partition schemes and an algebraic expression for the virial coefficients in terms of the cluster coefficients in order to derve upper bounds on the virial coefficients and consequently lower bounds on the radius of convergence of the virial expansion $\mathcal{R}_{\textrm{Vir}}$. The bound on the radius of convergence in the case of the Penrose partition scheme is the same as that proposed by Groeneveld and improves the bound achieved by Lebowitz and Penrose.

Topics: Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.00509

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4.0

Jun 25, 2018
06/18

by
Arvydas Astrauskas

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The aim of this paper is to study asymptotic geometric properties almost surely or/and in probability of extreme order statistics of an i.i.d. random field (potential) indexed by sites of multidimensional lattice cube, the volume of which unboundedly increases. We discuss the following topics: (I) high level exceedances, in particular, clustering of exceedances; (II) decay rate of spacings in comparison with increasing rate of extreme order statistics; (III) minimum of spacings of successive...

Topics: Probability, Mathematics, Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.00949

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Jun 25, 2018
06/18

by
Klil H. Neori; Philip Goyal

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Quantization of multiply-connected spaces requires tools which take these spaces' global properties into account. Applying these tools exposes additional degrees of freedom. This was first realized in the Aharonov-Bohm effect, where this additional degree of freedom was a magnetic flux confined to a solenoid, which an electron cannot enter. Previous work using Feynman path integrals has either only dealt with specific cases, or was limited to spaces with finite fundamental groups, and...

Topics: Mathematical Physics, Mathematical Physics, Mathematics, Quantum Physics

Source: http://arxiv.org/abs/1501.00231

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Jun 25, 2018
06/18

by
Diana Conache; Yuri Kondratiev; Yuri Kozitsky; Tanja Pasurek

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We give a detailed and refined proof of the Dobrushin-Pechersky uniqueness criterion extended to the case of Gibbs fields on general graphs and single-spin spaces, which in particular need not be locally compact. The exponential decay of correlations under the uniqueness condition has also been established.

Topics: Probability, Mathematics, Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.00673

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May 15, 2017
05/17

by
Biot, Jean-Baptiste, 1774-1862. n 86822669

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Errata sheet tipped into each vol

Topics: Mathematical physics, Physics, Mathematical physics, Physics

8
8.0

Jun 25, 2018
06/18

by
N. L. Harshman

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This is the first in a pair of articles that classify the configuration space and kinematic symmetry groups for $N$ identical particles in one-dimensional traps experiencing Galilean-invariant two-body interactions. These symmetries explain degeneracies in the few-body spectrum and demonstrate how tuning the trap shape and the particle interactions can manipulate these degeneracies. The additional symmetries that emerge in the non-interacting limit and in the unitary limit of an infinitely...

Topics: Quantum Physics, Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.00215

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Jun 25, 2018
06/18

by
Ivan Contreras; Elisa Ercolessi; Michele Schiavina

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In this paper, we will review the co-adjoint orbit formulation of finite dimensional quantum mechanics, and in this framework, we will interpret the notion of quantum Fisher information index (and metric). Following previous work of part of the authors, who introduced the definition of Fisher information tensor, we will show how its antisymmetric part is the pullback of the natural Kostant-Kirillov-Souriau symplectic form along some natural diffeomorphism. In order to do this, we will need to...

Topics: Mathematical Physics, Mathematical Physics, Mathematics, Quantum Physics

Source: http://arxiv.org/abs/1501.00054

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Jun 25, 2018
06/18

by
A. S. Holevo

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We give a survey of the two remarkable analytical problems of quantum information theory. The main part is a detailed report of the recent (partial) solution of the quantum Gaussian optimizers problem which establishes an optimal property of Glauber's coherent states -- a particular instance of pure quantum Gaussian states. We elaborate on the notion of quantum Gaussian channel as a noncommutative generalization of Gaussian kernel to show that the coherent states, and under certain conditions...

Topics: Mathematical Physics, Mathematical Physics, Mathematics, Quantum Physics

Source: http://arxiv.org/abs/1501.00652

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Jun 25, 2018
06/18

by
Gerald Kaiser

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The complex Poynting theorem (CPT) is extended to a canonical time-scale domain $(t,s)$. Time-harmonic phasors are replaced by the positive-frequency parts of general fields, which extend analytically to complex time $t+is$, with $s>0$ interpreted as a time resolution scale. The real part of the extended CPT gives conservation in $t$ of a time-averaged field energy, and its imaginary part gives conservation in $s$ of a time-averaged reactive energy. In both cases, the averaging windows are...

Topics: Optics, Physics, Mathematical Physics, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1501.01005

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Nov 18, 2019
11/19

by
Page, Chester Hall

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329 pages 24 cm

Topics: Mathematical physics, Mathematical physics, Physique mathématique

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May 15, 2017
05/17

by
Biot, Jean-Baptiste, 1774-1862. n 86822669

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Errata sheet tipped into each vol

Topics: Mathematical physics, Physics, Mathematical physics, Physics

76
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Jul 26, 2019
07/19

by
Joos, Georg, 1894-1959

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xxiii, 885 p. :

Topic: Mathematical physics

2
2.0

Jul 27, 2019
07/19

by
Vogel, Théodore, 1903-

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172 p. ; 24 cm

Topic: Mathematical physics

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38

Aug 2, 2019
08/19

by
Polozhiĭ, G. N. (Georgiĭ Nikolaevich)

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ix, 543 p. 24 cm

Topic: Mathematical physics

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5.0

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v. : 24 cm

Topic: Mathematical physics

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32

Aug 8, 2019
08/19

by
Wigner, Eugene Paul, 1902-

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v. : 25 cm

Topic: Mathematical physics

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14

Aug 9, 2019
08/19

by
Wigner, Eugene Paul, 1902-

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v. : 25 cm

Topic: Mathematical physics

374
374

Oct 4, 2013
10/13

by
Li Ma

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Contents: Wave equations; Heat equations; Laplace equation; Method of Characteristic lines; Duhamel principle; Method of separation of variables; Laplace transform; Fourier transform; Fundamental solutions; Mean value property; Louville theorem; Monotonicity formulas; Maximum principle; Variational principle. Lecture Notes Collection FreeScience.info ID2325 Obtained from http://faculty.math.tsinghua.edu.cn/~lma/lectures\pdecourse.pdf http://www.freescience.info/go.php?pagename=books&id=2325

Topics: Mathematical Physics, "

572
572

Mar 2, 2015
03/15

by
Sommerfeld, Arnold, 1868-1951

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v. 1. Mechanics.--v. 2. Mechanics of deformable bodies.--v. 3. Electrodynamics.--v. 4. Optics.--v. 5. Thermodynamics and statistical mechanics

Topic: Mathematical physics

297
297

Sep 30, 2009
09/09

by
Lang, Viktor von, 1838-1921. [from old catalog]

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Book digitized by Google from the library of Ghent University and uploaded to the Internet Archive by user tpb.

Topic: Mathematical physics

Source: http://books.google.com/books?id=cNYPAAAAQAAJ&oe=UTF-8

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363

Jul 16, 2019
07/19

by
Geroch, Robert

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vi, 351 p. : 23 cm

Topic: Mathematical physics

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Jun 18, 2019
06/19

by
Wyld, Henry William, 1928-

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xvi, 628 p. : 24 cm

Topic: Mathematical physics

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Aug 8, 2019
08/19

by
Wigner, Eugene Paul, 1902-

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v. : 25 cm

Topic: Mathematical physics

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v. : 24 cm

Topic: Mathematical physics

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36

Aug 6, 2015
08/15

by
NATO Advanced Study Institute on Mathematical Physics (1970 : Istanbul, Turkey); Barut, A. O. (Asim Orhan), 1926-; North Atlantic Treaty Organization. Scientific Affairs Division

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Includes bibliographical references

Topic: Mathematical physics

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75

Jun 28, 2010
06/10

by
Squires, G. L. (Gordon Leslie)

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Bibliography: p. 217-219

Topic: Mathematical physics

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25

Jul 26, 2019
07/19

by
Lebedev, N. N. (Nikolaĭ Nikolaevich)

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xi, 429 p. 24 cm

Topic: Mathematical physics

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58

Apr 27, 2019
04/19

by
Goertzel, Gerald, 1919-

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300 p. 22 cm

Topic: Mathematical physics

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100

Oct 4, 2013
10/13

by
Jared Wunsch

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Contents: Introduction;. Prequel: energy methods and commutators; The pseudodifferential calculus; Wavefront set; Traces; A parametrix for the wave operator; The wave trace; Lagrangian distributions; The wave trace, redux; A global calculus of pseudodifferential operators. Lecture Notes Collection FreeScience.info ID2345 Obtained from http://www.math.northwestern.edu/~jwunsch/micronotes.pdf http://www.freescience.info/go.php?pagename=books&id=2345

Topics: Mathematical Physics, "

Folkscanomy: A Library of Books

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539

Dec 30, 2015
12/15

by
Max Born Symposium (12th : 1998 : Wrocław, Poland); Borowiec, Andrzej, 1950-

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Theoretical Physics Fin de Siècle: Proceedings of the XII Max Born Symposium Held in Wrocław, Poland, 23–26 September 1998 Author: Andrzej Borowiec, Wojciech Cegła, Bernard Jancewicz, Witold Karwowski Published by Springer Berlin Heidelberg ISBN: 978-3-540-66801-5 DOI: 10.1007/3-540-46700-9 Table of Contents: Max Born and Molecular Theory Trying to Divide the Universe Modal Interpretation of Quantum Mechanics and Classical Physical Theories On Localisation in Relativistic Quantum Mechanics...

Topic: Mathematical physics

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28

Jul 26, 2019
07/19

by
Page, Chester Hall

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329 p. 24 cm

Topic: Mathematical physics

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51

Jul 2, 2019
07/19

by
Wallace, Philip R. (Philip Russell), 1915-

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xix, 616 p. : 22 cm

Topic: Mathematical physics

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Topic: Mathematical physics