Mathematics

Authors and titles for July 2002

[1] arXiv:cs/0207062 [pdf, other]

Title: Some addenda on distance function wavelets

W. Chen

Subjects: Numerical Analysis (math.NA); Computational Engineering, Finance, and Science (cs.CE)

[2] arXiv:math-ph/0207001 [pdf, other]

Title: The Poincare'-Nekhoroshev map

Giuseppe Gaeta

Comments: arxiv version is already official

Journal-ref: J. Nonlinear Math. Phys., volume 10, no.1 (2003) 51-64

Subjects: Mathematical Physics (math-ph); Differential Geometry (math.DG); Dynamical Systems (math.DS)

[3] arXiv:math-ph/0207002 [pdf, other]

Title: Michel theory of symmetry breaking and gauge theories

G. Gaeta, P. Morando

Comments: 24 pages. An old paper posted for archival purposes

Journal-ref: Annals Phys. 260 (1997) 149-170

Subjects: Mathematical Physics (math-ph)

[4] arXiv:math-ph/0207003 [pdf, other]

Title: Recursive Fermion System in Cuntz Algebra. II -- Endomorphism, Automorphism and Branching of Representation --

Mitsuo Abe, Katsunori Kawamura

Comments: 47 pages, LaTeX

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Operator Algebras (math.OA)

[5] arXiv:math-ph/0207004 [pdf, other]

Title: A Generalized Q-operator for U_q(\hat(sl_2)) Vertex Models

Marco Rossi, Robert Weston

Comments: 22 pages, Latex2e. This replacement is a revised version that includes a simple explicit expression for the Q matrix for the 6-vertex model

Journal-ref: J.Phys.A35:10015-10032,2002

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th); Quantum Algebra (math.QA)

[6] arXiv:math-ph/0207005 [pdf, other]

Title: Painlev\'e transcendent evaluations of finite system density matrices for 1d impenetrable Bosons

P.J. Forrester, N.E. Frankel, T.M. Garoni, N.S. Witte

Comments: AMSLatex, requires Commun. Math. Phys. style macros

Subjects: Mathematical Physics (math-ph); Condensed Matter (cond-mat)

[7] arXiv:math-ph/0207006 [pdf, other]

Title: Ricci curvature of submanifolds in locally conformal almost cosymplectic manifolds

Mukut Mani Tripathi, Jeong-Sik Kim, Jaedong Choi

Comments: Latex 14 pages

Subjects: Mathematical Physics (math-ph)

[8] arXiv:math-ph/0207007 [pdf, other]

Title: Trapped modes for periodic structures in waveguides

Julian Edward

Comments: 11 pages, Latex

Subjects: Mathematical Physics (math-ph); Spectral Theory (math.SP)

[9] arXiv:math-ph/0207008 [pdf, other]

Title: Extra Dimensions and Nonlinear Equations

Thomas Curtright, David Fairlie

Comments: Scientific Workplace LATEX

Journal-ref: J.Math.Phys. 44 (2003) 2692-2703

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Analysis of PDEs (math.AP); Fluid Dynamics (physics.flu-dyn)

[10] arXiv:math-ph/0207009 [pdf, other]

Title: Pseudo-Hermiticity for a Class of Nondiagonalizable Hamiltonians

Ali Mostafazadeh

Comments: 17 pages, slightly revised version, to appear in J. Math. Phys

Journal-ref: J.Math.Phys. 43 (2002) 6343-6352; Erratum-ibid. 44 (2003) 943

Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th); Quantum Physics (quant-ph)

[11] arXiv:math-ph/0207010 [pdf, other]

Title: Flux-Across-Surfaces Theorem for a Dirac Particle

D. Duerr, P. Pickl

Subjects: Mathematical Physics (math-ph)

[12] arXiv:math-ph/0207011 [pdf, other]

Title: Wave-Particle Complementarity and Reciprocity of Gauss Sums on Talbot Effects

Shigeki Matsutani, Yoshihiro Ônishi

Comments: AMS-TeX, 14 pages

Subjects: Mathematical Physics (math-ph); Number Theory (math.NT)

[13] arXiv:math-ph/0207012 [pdf, other]

Title: On the formation/dissolution of equilibrium droplets

Marek Biskup, Lincoln Chayes, Roman Kotecky

Comments: An announcement of a forthcoming rigorous work on the 2D Ising model; to appear in Europhys. Lett

Journal-ref: Europhys. Lett. 60:1 (2002) 21-27

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); Probability (math.PR); Chemical Physics (physics.chem-ph)

[14] arXiv:math-ph/0207013 [pdf, other]

Title: Zeno Dynamics in Quantum Statistical Mechanics

Andreas U. Schmidt

Comments: 15 pages, AMSLaTeX; typos corrected, references updated and added, acknowledgements added, style polished; revised version contains corrections from published corrigenda

Journal-ref: J. Phys. A: Math. Gen. 36 (31 january 2003) 1135-1148

Subjects: Mathematical Physics (math-ph); Operator Algebras (math.OA); Quantum Physics (quant-ph)

[15] arXiv:math-ph/0207014 [pdf, other]

Title: Differential Geometry of Group Lattices

Aristophanes Dimakis, Folkert Muller-Hoissen

Comments: 51 pages, 11 figures

Journal-ref: J.Math.Phys. 44 (2003) 1781-1821

Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)

[16] arXiv:math-ph/0207015 [pdf, other]

Title: On Reduction and Q-conditional (Nonclassical) Symmetry

Roman O. Popovych

Comments: LaTex2e, 7 pages

Journal-ref: Proc. of the Second Int. Conf. "Symmetry in Nonlinear Mathematical Physics", Kyiv, Institute Of Mathematics, 1997, Vol.2, P. 437-443

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Exactly Solvable and Integrable Systems (nlin.SI)

[17] arXiv:math-ph/0207016 [pdf, other]

Title: Symmetry reduction and exact solutions of the Navier-Stokes equations

Wilhelm I. Fushchych, Roman O. Popovych

Comments: LaTex2e, 62 pages

Journal-ref: J. Nonlinear Math. Phys. 1 (1994), 75-113, 158-188

Subjects: Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI); Fluid Dynamics (physics.flu-dyn)

[18] arXiv:math-ph/0207017 [pdf, other]

Title: Periodic Manifolds with Spectral Gaps

Olaf Post

Comments: 21 pages, 3 eps-figures, LaTeX

Subjects: Mathematical Physics (math-ph); Spectral Theory (math.SP)

[19] arXiv:math-ph/0207018 [pdf, other]

Title: Eigenvalues in Spectral Gaps of a Perturbed Periodic Manifold

Olaf Post

Comments: 30 pages, 3 eps-figures, LaTeX

Subjects: Mathematical Physics (math-ph); Spectral Theory (math.SP)

[20] arXiv:math-ph/0207019 [pdf, other]

Title: Cyclic Identities Involving Jacobi Elliptic Functions. II

Avinash Khare, Arul Lakshminarayan, Uday Sukhatme

Comments: 38 pages. Modified and includes more new identities. A shorter version of this will appear in J. Math. Phys. (May 2003)

Journal-ref: J. Math. Phys., Vol. 44, No. 4 (2003) 1822-1841.

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems (nlin.SI)

[21] arXiv:math-ph/0207020 [pdf, other]

Title: Spectral Gaps for Periodic Elliptic Operators with High Contrast: an Overview

Rainer Hempel, Olaf Post

Comments: 12 pages, 1 eps-figure, LaTeX

Subjects: Mathematical Physics (math-ph); Spectral Theory (math.SP)

[22] arXiv:math-ph/0207021 [pdf, other]

Title: Remark on conservation laws associated with non-Noether symmetries

George Chavchanidze

Comments: LaTeX 2e, 6 pages, no fogures

Subjects: Mathematical Physics (math-ph)

[23] arXiv:math-ph/0207022 [pdf, other]

Title: Exactly solvable periodic Darboux q-chains

Ivan A. Dynnikov, Sergey V. Smirnov

Comments: 3 pages, LaTeX, to appear in Russian Math. Surveys

Subjects: Mathematical Physics (math-ph)

[24] arXiv:math-ph/0207023 [pdf, other]

Title: A precise definition of reduction of partial differential equations

Renat Z. Zhdanov, Ivan M. Tsyfra, Roman O. Popovych

Comments: LaTeX, 21 pages

Journal-ref: J. Math. Anal. Appl. 238 (1999), 101-123

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Exactly Solvable and Integrable Systems (nlin.SI)

[25] arXiv:math-ph/0207024 [pdf, other]

Title: Nonlinear representations for Poincare and Galilei algebras and nonlinear equations for electromagnetic fields

Wilhelm I. Fushchych, Ivan M. Tsyfra, Vyacheslav M. Boyko

Comments: LaTeX, 10 pages, some misprints of published version corrected

Journal-ref: J.Nonlin.Math.Phys. 2 (1994) 210-221

Subjects: Mathematical Physics (math-ph); Representation Theory (math.RT); Exactly Solvable and Integrable Systems (nlin.SI); Quantum Physics (quant-ph)

[26] arXiv:math-ph/0207025 [pdf, other]

Title: Bound states due to a strong $\delta$ interaction supported by a curved surface

Pavel Exner, Sylwia Kondej

Comments: LaTeX 2e, 21 pages

Journal-ref: J. Phys. A36 (2003), 443-457

Subjects: Mathematical Physics (math-ph)

[27] arXiv:math-ph/0207026 [pdf, other]

Title: Construction of Self-Adjoint Berezin-Toeplitz Operators on Kahler Manifolds and a Probabilistic Representation of the Associated Semigroups

Bernhard G. Bodmann

Comments: AMS-LaTeX, 30 pages, no figures

Subjects: Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[28] arXiv:math-ph/0207027 [pdf, other]

Title: Revisiting the Charge Transport in Quantum Hall Systems

Tohru Koma

Comments: LaTeX 71 pages, no figures, added references, minor revision

Subjects: Mathematical Physics (math-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); High Energy Physics - Theory (hep-th)

[29] arXiv:math-ph/0207028 [pdf, other]

Title: Associated Lame and various other new classes of elliptic potentials from sl(2,R) and related orthogonal polynomials

Asish Ganguly

Comments: 34 pages, 4 tables, 1 figure, PDF file

Journal-ref: Published in J. Math. Phys. 43,1980(2002)

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Quantum Physics (quant-ph)

[30] arXiv:math-ph/0207029 [pdf, other]

Title: From tracial anomalies to anomalies in Quantum Field Theory

Alexander Cardona, Catherine Ducourtioux, Sylvie Paycha

Comments: 35 pages

Journal-ref: Commun.Math.Phys.242:31-65,2003

Subjects: Mathematical Physics (math-ph)

[31] arXiv:math-ph/0207030 [pdf, other]

Title: Particles and Anti-Particles in a Relativistic Bose Condensate

Luca Salasnich (INFM and Univ. Milano)

Comments: RevTex, 16 pages, 4 figures, to be published in Nuovo Cimento B

Journal-ref: Nuovo Cim.B117:637-646,2002

Subjects: Mathematical Physics (math-ph)

[32] arXiv:math-ph/0207031 [pdf, other]

Title: Some Integrable Systems in Nonlinear Quantum Optics

Maciej Horowski, Anatol Odzijewicz, Agnieszka Tereszkiewicz

Comments: 27 pages

Journal-ref: J. Math. Phys. 44 (2003), no. 2, 480-506

Subjects: Mathematical Physics (math-ph)

[33] arXiv:math-ph/0207032 [pdf, other]

Title: The structure of general solutions and integrability conditions for rational first-order ODE's

Yu.N. Kosovtsov

Comments: 15 pages

Subjects: Mathematical Physics (math-ph); General Mathematics (math.GM)

[34] arXiv:math-ph/0207033 [pdf, other]

Title: On the Velo-Zwanziger phenomenon

J. Frauendiener

Journal-ref: J.Phys.A36:8433-8442,2003

Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc)

[35] arXiv:math-ph/0207034 [pdf, other]

Title: A Surprising Property of Multidimensional Hamiltonian Systems; Application to Semiclassical Quantization of Phase Space

Maurice de Gosson

Comments: no figures

Subjects: Mathematical Physics (math-ph); Symplectic Geometry (math.SG)

[36] arXiv:math-ph/0207035 [pdf, other]

Title: K-Theory of topological algebras and second quantization

Anastasios Mallios

Comments: 16 pages, elaborated version of the talk at the opening session of the Intern. Conference on ``Topological Algebras and Applications'', Oulu (2001)

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Differential Geometry (math.DG)

[37] arXiv:math-ph/0207036 [pdf, other]

Title: Self-energy of one electron in non-relativistic QED

I. Catto, Ch. Hainzl

Subjects: Mathematical Physics (math-ph)

[38] arXiv:math-ph/0207037 [pdf, other]

Title: Kolakoski-(2m,2n) are limit-periodic model sets

Bernd Sing (Greifswald, Germany)

Comments: 15 pages, 3 figures; updated references, corrected typos

Journal-ref: J. Math. Phys. 44, No. 2, 899-912 (2003)

Subjects: Mathematical Physics (math-ph)

[39] arXiv:math-ph/0207038 [pdf, other]

Title: The discretised harmonic oscillator: Mathieu functions and a new class of generalised Hermite polynomials

M. Aunola

Comments: 18 pages, ReVTeX, the final version with rather general expressions

Journal-ref: J. Math. Phys. 44, 1913 (2003)

Subjects: Mathematical Physics (math-ph)

[40] arXiv:math-ph/0207039 [pdf, other]

Title: Bound State Solutions of the Dirac Equation in the Extreme Kerr Geometry

Harald Schmid

Comments: 17 pages, 3 figures, small corrections and improvements

Journal-ref: Math. Nachr. 274-275 (2004), pages 117 - 129

Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc)

[41] arXiv:math-ph/0207040 [pdf, other]

Title: Spectral Analysis on Damek-Ricci Space

Ahmed Abouelaz, Omar El Fourchi

Comments: 41 pages, latex. Minor changes

Subjects: Mathematical Physics (math-ph)

[42] arXiv:math-ph/0207041 [pdf, other]

Title: Entropy production rates of bistochastic strictly contractive quantum channels on a matrix algebra

Maxim Raginsky

Comments: 7 pages; revised version submitted to J. Phys. A

Journal-ref: J. Phys. A: Math. Gen. 35, L585-L590 (2002)

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); Operator Algebras (math.OA); Quantum Physics (quant-ph)

[43] arXiv:math-ph/0207042 [pdf, other]

Title: Scattering into Cones and Flux across Surfaces in Quantum Mechanics: a Pathwise Probabilistic Approach

Andrea Posilicano, Stefania Ugolini

Comments: To appear in Journal of Mathematical Physics

Subjects: Mathematical Physics (math-ph); Probability (math.PR)

[44] arXiv:math-ph/0207043 [pdf, other]

Title: Loday-type Algebras and the Rota-Baxter Relation

Kurusch Ebrahimi-Fard

Comments: 13 pages, no figures, short remark at the end of Sect. 4 added, minor typos corrected

Journal-ref: Lett.Math.Phys. 61 (2002) 139-147

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Quantum Algebra (math.QA)

[45] arXiv:math-ph/0207044 [pdf, other]

Title: Random matrix theory and the zeros of zeta'(s)

Francesco Mezzadri

Comments: 18 pages, 5 figures. Revised version: section 4 expanded; minor corrections

Journal-ref: J. Phys. A: Math. Gen., Vol. 36 (2003), 2945-2962 (Special Issue on RMT)

Subjects: Mathematical Physics (math-ph); Number Theory (math.NT)

[46] arXiv:math-ph/0207045 [pdf, other]

Title: Non-linear generalization of the sl(2) algebra

E.M.F. Curado, M.A. Rego-Monteiro

Comments: 13 pages, 3 EPS figures, Latex

Journal-ref: Phys.Lett. A300 (2002) 205-212

Subjects: Mathematical Physics (math-ph); Condensed Matter (cond-mat); High Energy Physics - Theory (hep-th)

[47] arXiv:math-ph/0207046 [pdf, other]

Title: Spectral Properties of Hypoelliptic Operators

J.-P. Eckmann, M. Hairer

Comments: 3 figures

Subjects: Mathematical Physics (math-ph); Functional Analysis (math.FA)

[48] arXiv:math-ph/0207047 [pdf, other]

Title: A Remark on the structure of symmetric quantum dynamical semigroups on von Neumann algebras

Sergio Albeverio, Debashish Goswami

Comments: accepted in Infinite Dimensional Analysis, Quantum Probability and Related Toplics (World Scientific)

Subjects: Mathematical Physics (math-ph); Functional Analysis (math.FA)

[49] arXiv:math/0207001 [pdf, other]

Title: Adjoint Jordan Blocks

George J. McNinch

Comments: 19 pages. AMSLaTeX

Subjects: Representation Theory (math.RT)

[50] arXiv:math/0207002 [pdf, other]

Title: A model for the quasi-static growth of brittle fractures based on local minimization

Gianni Dal Maso, Rodica Toader

Comments: 20 pages

Subjects: Analysis of PDEs (math.AP)