Mathematics

Authors and titles for May 2002

[1] arXiv:math-ph/0205001 [pdf, other]

Title: Three classes of nonextensive entropies characterized by Shannon additivity and pseudoadditivity

Hiroki Suyari

Comments: 10 pages

Subjects: Mathematical Physics (math-ph)

[2] arXiv:math-ph/0205002 [pdf, other]

Title: Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework

B. Bagchi, C. Quesne

Comments: LaTeX, 14 pages, no figure, 1 reference added

Journal-ref: Phys.Lett.A300:18-26,2002

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

[3] arXiv:math-ph/0205003 [pdf, other]

Title: Gauged Q ball in a piecewise parabolic potential

Xin-zhou Li, Jian-gang Hao, Dao-jun Liu, Guang Chen

Comments: 1 figures

Journal-ref: J.Phys.A34:1459-1465,2001

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

[4] arXiv:math-ph/0205004 [pdf, other]

Title: Generalization of Shannon-Khinchin Axioms to Nonextensive Systems and the Uniqueness Theorem

Hiroki Suyari

Comments: 10 pages

Subjects: Mathematical Physics (math-ph)

[5] arXiv:math-ph/0205005 [pdf, other]

Title: Jordan-Schwinger realizations of three-dimensional polynomial algebras

V. Sunil Kumar, B. A. Bambah, R. Jagannathan

Comments: 10 pages, LaTeX2e

Journal-ref: Mod.Phys.Lett.A17:1559-1566,2002

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

[6] arXiv:math-ph/0205006 [pdf, other]

Title: Target Space Equivariant Cohomological Structure of the Poisson Sigma Model

Roberto Zucchini

Comments: 36 pages, Plain TeX, no figures, requires AMS font files this http URL and this http URL

Journal-ref: J.Geom.Phys. 48 (2003) 219-244

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

[7] arXiv:math-ph/0205007 [pdf, other]

Title: Increasing subsequences and the hard-to-soft edge transition in matrix ensembles

Alexei Borodin, Peter J. Forrester

Comments: LaTeX, 19 pages

Subjects: Mathematical Physics (math-ph); Combinatorics (math.CO)

[8] arXiv:math-ph/0205008 [pdf, other]

Title: A Necessary Condition for the Existence of SW-Monopoles

Celso M. Doria

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

[9] arXiv:math-ph/0205009 [pdf, other]

Title: Rigged Hilbert space of the free coherent states and p-adic numbers

S.V.Kozyrev

Comments: 12 pages, LaTeX

Journal-ref: Theor.Math.Phys.135:642-650,2003

Subjects: Mathematical Physics (math-ph)

[10] arXiv:math-ph/0205010 [pdf, other]

Title: Moments and Cumulants of Polynomial random variables on unitary groups, the Itzykson-Zuber integral and free probability

Benoit Collins

Comments: 34 pages, 1 figure

Journal-ref: Int. Math. Res. Not., (17):953-982, 2003.

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

[11] arXiv:math-ph/0205011 [pdf, other]

Title: Scaling Limit and Renormalisation Group in the Critical Point Analysis of General (Quantum) Many Body Systems

Manfred Requardt

Comments: Latex, 28 pages, no pictures, this extended version replaces cond-mat/0108511, many new results

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

[12] arXiv:math-ph/0205012 [pdf, other]

Title: Symmetries and Solutions of Getzler's Equation for Coxeter and Extended Affine Weyl Frobenius Manifolds

I.A.B.Strachan

Comments: 9 pages, LaTeX

Journal-ref: International Mathematics Research Notices, Volume 2003, Issue 19, 2003, Pages 1035-1051

Subjects: Mathematical Physics (math-ph); Differential Geometry (math.DG); Exactly Solvable and Integrable Systems (nlin.SI)

[13] arXiv:math-ph/0205013 [pdf, other]

Title: Hyperspherical Functions and Linear Representations of the Lorentz Group

V.V. Varlamov

Comments: 20 pages, LaTeX2e

Journal-ref: Hadronic J. 25 (2002) 481-508

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

[14] arXiv:math-ph/0205014 [pdf, other]

Title: Long-time Behavior for the Stochastic Ising Model with Unbounded Random Couplings

H. Spohn, E. Zhizhina

Subjects: Mathematical Physics (math-ph)

[15] arXiv:math-ph/0205015 [pdf, other]

Title: Classification of Asymptotic Profiles for Nonlinear Schr\"odinger Equations with Small Initial Data

Tai-Peng Tsai, Horng-Tzer Yau

Comments: to appear in Adv. Theor. Math. Phys

Journal-ref: Adv. Theor. Math. Phys. 6 (2002) 107-139

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[16] arXiv:math-ph/0205016 [pdf, other]

Title: Generalized Euler Angle Paramterization for SU(N)

Todd Tilma, E.C.G. Sudarshan

Comments: 36 pages, no figures; added qubit/qutrit work, corrected minor definition problems and clarified Haar measure derivation. To be published in J. Phys. A: Math. and Gen

Journal-ref: J. Phys. A: Math. Gen. 35 (2002) 10467-10501

Subjects: Mathematical Physics (math-ph)

[17] arXiv:math-ph/0205017 [pdf, other]

Title: Gerbes, covariant derivatives, p-form lattice gauge theory, and the Yang-Baxter equation

T. A. Larsson

Comments: Added four references

Subjects: Mathematical Physics (math-ph)

[18] arXiv:math-ph/0205018 [pdf, other]

Title: Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin

F. Hiroshima, H. Spohn

Subjects: Mathematical Physics (math-ph)

[19] arXiv:math-ph/0205019 [pdf, other]

Title: Determining Static Stresses of Deformed Solitons

V.D. Tsukanov

Comments: improved version of paper (2001), minor reformatting

Journal-ref: Theor.Math.Phys.126:187-194,2001

Subjects: Mathematical Physics (math-ph); Nuclear Theory (nucl-th)

[20] arXiv:math-ph/0205020 [pdf, other]

Title: Crystallographic Restrictions for Colour Lattices with Modular Sublattices

Leonid G. Fel

Comments: 18 pages, 2 figures

Subjects: Mathematical Physics (math-ph); Group Theory (math.GR)

[21] arXiv:math-ph/0205021 [pdf, other]

Title: Some examples of exponentially harmonic maps

A D Kanfon, A Füzfa, D Lambert

Comments: 16 pages, 5 figures

Subjects: Mathematical Physics (math-ph)

[22] arXiv:math-ph/0205022 [pdf, other]

Title: Dirac-type tensor equations with non-Abelian gauge symmetries on pseudo-Riemannian space

N.G.Marchuk

Comments: 25 pages

Journal-ref: Nuovo Cim.B117:95-120,2002

Subjects: Mathematical Physics (math-ph)

[23] arXiv:math-ph/0205023 [pdf, other]

Title: Noncommutative Finsler Geometry, Gauge Fields and Gravity

Sergiu Vacaru

Comments: 52 pages, latex2e, version 3 with additional references and minor corrections

Journal-ref: Chapter 13 in: "Clifford and Riemann Finsler Structures in Geometric Mechanics and Gravity, Selected Works by S. Vacaru, P. Stavrinos, E. Gaburov and D. Gonta (Geometry Balkan Press, 2006) http://www.mathem.pub.ro/dgds/mono/va-t.pdf

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

[24] arXiv:math-ph/0205024 [pdf, other]

Title: Towards Euclidean Theory of Infrared Singular Quantum Fields

A. G. Smirnov

Comments: 24 pages, AmS-LaTeX, section about Wick power series added, submitted to J. Math. Phys

Journal-ref: J.Math.Phys. 44 (2003) 2058-2076

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

[25] arXiv:math-ph/0205025 [pdf, other]

Title: The Characteristic Class of a Lie Algebra Ideal, Contact Structures and the Poisson Algebra of Basic Functions

Zakaria Giunashvili

Comments: 31 pages. Some misprints and inaccuracies in definitions are corrected

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

[26] arXiv:math-ph/0205026 [pdf, other]

Title: Jacobi fields of completely integrable Hamiltonian systems

G.Giachetta, L.Mangiarotti, G.Sardanashvily

Comments: 6 pages

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

[27] arXiv:math-ph/0205027 [pdf, other]

Title: End-to-end Distance from the Green's Function for a Hierarchical Self-Avoiding Walk in Four Dimensions

David C. Brydges, John Z. Imbrie

Comments: 29 pages, v2: references

Journal-ref: Communications in Mathematical Physics 239, 523-547 (2003)

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

[28] arXiv:math-ph/0205028 [pdf, other]

Title: Green's Function for a Hierarchical Self-Avoiding Walk in Four Dimensions

David C. Brydges, John Z. Imbrie

Comments: 39 pages

Journal-ref: Communications in Mathematical Physics 239, 549-584 (2003)

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

[29] arXiv:math-ph/0205029 [pdf, other]

Title: p-Adic representation of the Cuntz algebra and the free coherent states

S.V.Kozyrev

Comments: LaTeX, 10 pages

Subjects: Mathematical Physics (math-ph)

[30] arXiv:math-ph/0205030 [pdf, other]

Title: Scattering on compact manifolds with infinitely thin horns

J. Bruening, V. Geyler

Subjects: Mathematical Physics (math-ph)

[31] arXiv:math-ph/0205031 [pdf, other]

Title: The two-dimensional hydrogen atom revisited

D.G.W. Parfitt, M.E. Portnoi

Comments: 10 pages, no figures, RevTex4

Journal-ref: Journal of Mathematical Physics 43, 4681 (2002)

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

[32] arXiv:math-ph/0205032 [pdf, other]

Title: On the functional equation related to the quantum three-body problem

V.M. Buchstaber, A.M. Perelomov

Comments: LaTeX

Journal-ref: Berezin Memorial Volume, Amer. Math. Soc. Transl. (2) Vol. 175, 15-34 (1996)

Subjects: Mathematical Physics (math-ph)

[33] arXiv:math-ph/0205033 [pdf, other]

Title: Mean-Field Approximation of Quantum Systems and Classical Limit

Sandro Graffi, Andre' Martinez, Mario Pulvirenti

Subjects: Mathematical Physics (math-ph)

[34] arXiv:math-ph/0205034 [pdf, other]

Title: Coherent state triplets and their inner products

David J Rowe, Joe Repka (University of Toronto)

Comments: 33 pages, RevTex (Latex2.09) This paper is withdrawn because it contained errors that are being corrected

Subjects: Mathematical Physics (math-ph); Group Theory (math.GR)

[35] arXiv:math-ph/0205035 [pdf, other]

Title: Perturbation Theory for the Quantum Time-Evolution in Rotating Potentials

Volker Enss, Vadim Kostrykin, Robert Schrader

Comments: To appear in Proceedings of the Conference QMath-8 "Mathematical Results in Quantum Mechanics" Taxco, Mexico, December 2001

Journal-ref: Contemporary Mathematics Vol. 307, 2002, p. 113 - 127

Subjects: Mathematical Physics (math-ph)

[36] arXiv:math-ph/0205036 [pdf, other]

Title: Lorentz transformation and vector field flows

Shao-Hsuan Chiu, T. K. Kuo

Comments: 11 pages, 3 figures. Section IV revised and title changed

Journal-ref: J.Phys.A36:555-562,2003

Subjects: Mathematical Physics (math-ph); High Energy Physics - Phenomenology (hep-ph)

[37] arXiv:math-ph/0205037 [pdf, other]

Title: Proof of Bose-Einstein Condensation for Interacting Gases with a One-Particle Spectral Gap

J. Lauwers, A. Verbeure, V. A. Zagrebnov

Journal-ref: J. Phys. A 36 (2003) L169-L174

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech)

[38] arXiv:math-ph/0205038 [pdf, other]

Title: Charge distribution in two-dimensional electrostatics

I. Kogan, A.M. Perelomov, G.W. Semenoff

Comments: LaTeX

Journal-ref: Phys. Rev. B 45, 12084 - 12087 (1992)

Subjects: Mathematical Physics (math-ph)

[39] arXiv:math-ph/0205039 [pdf, other]

Title: On frequencies of small oscillations of some dynamical systems associated with root systems

A.M. Perelomov

Comments: arxiv version is already official

Journal-ref: J. Nonlinear Math. Phys., volume 10, no. 1 (2003) 103-109

Subjects: Mathematical Physics (math-ph)

[40] arXiv:math-ph/0205040 [pdf, other]

Title: Lagrange formalism of point-masses

M. Balazs, P. Van

Comments: 23 pages, 0 figures

Subjects: Mathematical Physics (math-ph)

[41] arXiv:math-ph/0205041 [pdf, other]

Title: Toward a Classification of Stochastically Stable Quenched Measures

Pierluigi Contucci

Subjects: Mathematical Physics (math-ph); Disordered Systems and Neural Networks (cond-mat.dis-nn)

[42] arXiv:math-ph/0205042 [pdf, other]

Title: A perturbative approach to the quantum elliptic Calogero-Sutherland model

Jose Fernandez Nunez, Wifredo Garcia Fuertes, Askold Perelomov (Univ. de Oviedo)

Comments: 6 pages, no figures

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

[43] arXiv:math-ph/0205043 [pdf, other]

Title: Quasi-exactly solvable models in nonlinear optics

G Alvarez, F Finkel, A Gonzalez-Lopez, M A Rodriguez

Comments: 11 pages, LaTeX

Journal-ref: J. Phys. A: Math. Gen. 35, 8705-8713 (2002)

Subjects: Mathematical Physics (math-ph)

[44] arXiv:math-ph/0205044 [pdf, other]

Title: Mass Renormalization and Energy Level Shift in Non-Relativistic QED

Christian Hainzl, Robert Seiringer

Comments: amslatex, 22 pages; to appear in Adv. Theor. Math. Phys

Journal-ref: Adv. Theor. Math. Phys. 6, 847 (2002)

Subjects: Mathematical Physics (math-ph)

[45] arXiv:math-ph/0205045 [pdf, other]

Title: Asymptotics and functional form of correlators in the XX - spin chain of finite length

A.A.Ovchinnikov

Comments: LaTex, 12 pages

Journal-ref: J.Phys.C 14 (2002) 10193 - 10201.

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

[46] arXiv:math-ph/0205046 [pdf, other]

Title: Parallel Objects and Field Equations

Stoil Donev, Maria Tashkova

Comments: 14 pages, Latex2e, no figures

Subjects: Mathematical Physics (math-ph)

[47] arXiv:math-ph/0205047 [pdf, other]

Title: Results on the Wess-Zumino consistency condition for arbitrary Lie algebras

A. Barkallil, G.Barnich, C.Schomblond

Comments: 39 pages Latex file, 1 eps figure, typos and proof of lemma 5 corrected

Journal-ref: J.Math.Phys. 43 (2002) 5987-6015

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Algebraic Topology (math.AT)

[48] arXiv:math/0205001 [pdf, other]

Title: A note on the Gurov-Reshetnyak condition

A.A.Korenovskyy, A.K.Lerner, A.M.Stokolos

Subjects: Classical Analysis and ODEs (math.CA); Analysis of PDEs (math.AP)

[49] arXiv:math/0205002 [pdf, other]

Title: Bounds for the 3x+1 Problem using Difference Inequalities

Ilia Krasikov, Jeffrey C. Lagarias

Comments: 21 pages latex, 3 figures

Journal-ref: Acta Arithmetica 109 (2003), 237--258.

Subjects: Number Theory (math.NT); Dynamical Systems (math.DS)

[50] arXiv:math/0205003 [pdf, other]

Title: A strengthening of the Nyman-Beurling criterion for the Riemann hypothesis, 2

Luis Baez-Duarte

Comments: 9 pages

Subjects: Number Theory (math.NT)