Mathematical Physics

Authors and titles for February 1999

[1] arXiv:math-ph/9902001 [pdf, other]

Title: Spontaneous Transitions in Quantum Mechanics

E. Prodan

Comments: An error was found and eliminated

Journal-ref: J. Phys. A: Math. and General 32 (1999) 4877-4881

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

[2] arXiv:math-ph/9902002 [pdf, other]

Title: Existence of the Solution for the 't Hooft-Polyakov Monopole

J. Bryce McLeod, Chie Bing Wang

Comments: 17 pages

Subjects: Mathematical Physics (math-ph)

[3] arXiv:math-ph/9902003 [pdf, other]

Title: Instability and Chaos in Spatially Homogeneous Field Theories

Luca Salasnich

Comments: 28 pages, 4 figures, to be published in J. Math. Phys

Journal-ref: J.Math.Phys. 40 (1999) 4429-4443

Subjects: Mathematical Physics (math-ph)

[4] arXiv:math-ph/9902004 [pdf, other]

Title: Shock-Free Wave Propagation in Gauge Theories

J. McCarthy, O. Sarioglu

Comments: 30 pages, LaTeX, no figures

Journal-ref: Int.J.Theor.Phys.39:159-182,2000

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

[5] arXiv:math-ph/9902005 [pdf, other]

Title: Hopf algebraic structure of the parabosonic and parafermionic algebras and paraparticle generalization of the Jordan Schwinger map

C. Daskaloyannis, K. Kanakoglou, I. Tsohantjis

Comments: 11 pages, LaTex2e file

Journal-ref: J. Math. Phys. 41 (2000) 652

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

[6] arXiv:math-ph/9902006 [pdf, other]

Title: 2+1 Kinematical expansions: from Galilei to de Sitter algebras

Francisco J. Herranz, Mariano Santander

Comments: 15 pages, LaTeX

Journal-ref: J.Phys. A32 (1999) 3743-3754

Subjects: Mathematical Physics (math-ph); Group Theory (math.GR); Rings and Algebras (math.RA)

[7] arXiv:math-ph/9902007 [pdf, other]

Title: Periodic instantons and the loop group

Paul Norbury

Comments: 15 pages

Journal-ref: Commun.Math.Phys. 212 (2000) 557-569

Subjects: Mathematical Physics (math-ph)

[8] arXiv:math-ph/9902008 [pdf, other]

Title: Generalized functions for quantum fields obeying quadratic exchange relations

H. Grosse, M. Oberguggenberger, I.T. Todorov

Comments: 15 pages, LATEX

Subjects: Mathematical Physics (math-ph)

[9] arXiv:math-ph/9902009 [pdf, other]

Title: Drinfel'd Twists and Functional Bethe Ansatz

V. Terras

Comments: 12 pages

Subjects: Mathematical Physics (math-ph)

[10] arXiv:math-ph/9902010 [pdf, other]

Title: $q$-identities and affinized projective varieties, I. Quadratic monomial ideals

Peter Bouwknegt

Comments: AMSTeX, 22 pages

Journal-ref: Commun. Math. Phys. 210 (2000) 641-661

Subjects: Mathematical Physics (math-ph); Algebraic Geometry (math.AG)

[11] arXiv:math-ph/9902011 [pdf, other]

Title: Kink-like Configurations of Interacting Scalar, Electromagnetic, and Gravitational Fields

D.S. Kulyabov, Yu.P. Rybakov, G.N. Shikin, L.P. Yuschenko

Journal-ref: Bulletin of Peoples Friendship University of Russia. Series Physics. 1997. No 1. P. 56-60

Subjects: Mathematical Physics (math-ph)

[12] arXiv:math-ph/9902012 [pdf, other]

Title: On Quantizing Nilpotent and Solvable Basic Algebras

Mark J. Gotay (University of Hawai`i), Janusz Grabowski (University of Warsaw)

Comments: 12 pages, Latex2e. Main result (Theorem 1) substantially strengthened; some rewriting

Journal-ref: Canadian Math. Bull. 44 (2001), 140-149.

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

[13] arXiv:math-ph/9902013 [pdf, other]

Title: Clifford Periodicity from Finite Groups

Luis J. Boya, Mark S. Byrd

Comments: 8 pages, LaTeX2e

Subjects: Mathematical Physics (math-ph)

[14] arXiv:math-ph/9902014 [pdf, other]

Title: On time evolutions associated with the nonstationary Schr\"{o}dinger equation

A. K. Pogrebkov

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

[15] arXiv:math-ph/9902015 [pdf, other]

Title: Moduli Space of Self-Dual Gauge Fields, Holomorphic Bundles and Cohomology Sets

Tatiana A. Ivanova

Comments: Invited talk at the EWM Workshop on Moduli Spaces in Mathematics and Physics, 2-3 July 1998, Oxford, to appear in the Proceedings

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

[16] arXiv:math-ph/9902016 [pdf, other]

Title: An exact solution method for 1D polynomial Schr\"odinger equations

A. Voros (CEA/Saclay, SPhT, France)

Comments: flatex this http URL, 4 files

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

[17] arXiv:math-ph/9902017 [pdf, other]

Title: On Lieb's conjecture for the Wehrl entropy of Bloch coherent states

Peter Schupp (Princeton)

Comments: 19 pages, LaTeX, amsfonts

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

[18] arXiv:math-ph/9902018 [pdf, other]

Title: A note on Farey sequences and Hausdorff dimension

Wellington da Cruz

Comments: 4 pages, latex

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

[19] arXiv:math-ph/9902019 [pdf, other]

Title: B\"{a}cklund and Darboux transformations for the nonstationary Schr\"{o}dinger equation

M. Boiti, F. Pempinelli, A. Pogrebkov, B. Prinari (University of Lecce, Italy)

Comments: to be published in Proc. of the Steklov Inst. of Mathematics, Moscow, Russia

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

[20] arXiv:math-ph/9902020 [pdf, other]

Title: Mass Generation in the Large N nonlinear sigma-Model

Ch. Kopper (CPHT, Ecole Polytechnique)

Comments: 44 pages

Journal-ref: Commun.Math.Phys. 202 (1999) 89-126

Subjects: Mathematical Physics (math-ph)

[21] arXiv:math-ph/9902021 [pdf, other]

Title: Comment on ``Quantization of Diffeomorphism-Invariant Theories with Fermions''

Alexander Yu. Vlasov (FCR/IRH)

Comments: 5 pages LaTeX

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

[22] arXiv:math-ph/9902022 [pdf, other]

Title: Constructive aspects of algebraic euclidean field theory

Dirk Schlingemann

Comments: 46pp, LaTex

Subjects: Mathematical Physics (math-ph)

[23] arXiv:math-ph/9902023 [pdf, other]

Title: Constructive Renormalization Theory

V. Rivasseau (CPHT, Ecole Polytechnique, Palaiseau, France)

Comments: LateX, 28 pages

Subjects: Mathematical Physics (math-ph)

[24] arXiv:math-ph/9902024 [pdf, other]

Title: Geometric quantization of generalized oscillator

Sergey V. Zuev (Penza State Pedagogical University)

Comments: 6 pages, LaTeX

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

[25] arXiv:math-ph/9902025 [pdf, other]

Title: A One-Dimensional Model for Many-Electron Atoms in Extremely Strong Magnetic Fields: Maximum Negative Ionization

Raymond Brummelhuis, Mary Beth Ruskai

Comments: 23 pages, 5 figures. J. Phys. A: Math and General (in press) 1999

Subjects: Mathematical Physics (math-ph); Atomic Physics (physics.atom-ph)

[26] arXiv:math-ph/9902026 [pdf, other]

Title: Deduction of the law of motion of the charges from Maxwell equations

A. Loinger (Dipartimento di Fisica, Universita' di Milano, Italy)

Comments: 3 pages, PDF from MS-Word97, e-mail: [email protected]

Subjects: Mathematical Physics (math-ph)

[27] arXiv:math-ph/9902027 [pdf, other]

Title: Preparation for Gauge Theory

George Svetlichny (Pontificia Universidade Catolica, Rio de Janeiro, Brazil)

Comments: LaTeX. 97 pages. Uses macro package "this http URL". Some minor errors and typos corrected

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

[28] arXiv:math-ph/9902028 [pdf, other]

Title: Construction of Kink Sectors for Two-Dimensional Quantum Field Theory Models. An Algebraic Approach

Dirk Schlingemann

Comments: 47pp, LaTeX

Journal-ref: Rev.Math.Phys. 10 (1998) 851-891

Subjects: Mathematical Physics (math-ph)

[29] arXiv:math-ph/9902029 [pdf, other]

Title: On the Product of Real Spectral Triples

F.J. Vanhecke

Comments: 8 pages, 5 tables, Latex, Minor misprints in tables 1,3 and 4 corrected

Subjects: Mathematical Physics (math-ph)

[30] arXiv:math-ph/9902030 [pdf, other]

Title: Random Operators and Crossed Products

Daniel H. Lenz

Comments: 22 pages

Subjects: Mathematical Physics (math-ph)

[31] arXiv:astro-ph/9902210 (cross-list from astro-ph) [pdf, other]

Title: The caustic ring singularity

P. Sikivie (U. of Florida)

Comments: 34 pages, 10 figures, a minor comment has been added

Journal-ref: Phys.Rev. D60 (1999) 063501

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

[32] arXiv:cond-mat/9902011 (cross-list from cond-mat.dis-nn) [pdf, other]

Title: Cortical Potential Distributions and Cognitive Information Processing

Henry C. Tuckwell

Comments: 4 pages

Subjects: Disordered Systems and Neural Networks (cond-mat.dis-nn); Statistical Mechanics (cond-mat.stat-mech); Neural and Evolutionary Computing (cs.NE); Mathematical Physics (math-ph); Adaptation and Self-Organizing Systems (nlin.AO); Biological Physics (physics.bio-ph); Quantitative Biology (q-bio)

[33] arXiv:cond-mat/9902296 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Commuting quantum transfer matrix approach to intrinsic Fermion system: Correlation length of a spinless Fermion model

Kazumitsu Sakai, Masahiro Shiroishi, Junji Suzuki, Yukiko Umeno

Comments: 17 pages

Journal-ref: Phys. Rev. B60 (1999) 5186-5201

Subjects: Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Quantum Algebra (math.QA); Exactly Solvable and Integrable Systems (nlin.SI)

[34] arXiv:gr-qc/9902031 (cross-list from gr-qc) [pdf, other]

Title: Space-Time as an Orderparameter Manifold in Random Networks and the Emergence of Physical Points

Manfred Requardt

Comments: 40 pages, Latex

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

[35] arXiv:gr-qc/9902034 (cross-list from gr-qc) [pdf, other]

Title: Proof of the symmetry of the off-diagonal heat-kernel and Hadamard's expansion coefficients in general $C^{\infty}$ Riemannian manifolds

Valter Moretti (Math. Dept. Trento University)

Comments: 30 pages, latex, no figures, minor errors corrected, English improved, shortened version accepted for publication in Commun. Math. Phys

Journal-ref: Commun.Math.Phys. 208 (1999) 283-309

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

[36] arXiv:hep-th/9902017 (cross-list from hep-th) [pdf, other]

Title: Towards a Nonperturbative Path Integral in Gauge Theories

Sergei V. Shabanov, John R. Klauder (University of Florida)

Comments: plain Latex, 12 pages, a few changes made and some comments added, a final version to appear in Phys. Lett. B

Journal-ref: Phys.Lett. B456 (1999) 38-47

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

[37] arXiv:hep-th/9902024 (cross-list from hep-th) [pdf, other]

Title: Fluid Dynamical Profiles and Constants of Motion from d-Branes

R. Jackiw, A.P. Polychronakos

Comments: Email correspondence to jackiw@ralph2.this http URL ; 23 pages using REVTeX, amssym, and BoxedEPS macros

Journal-ref: Commun.Math.Phys. 207 (1999) 107-129

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

[38] arXiv:hep-th/9902029 (cross-list from hep-th) [pdf, other]

Title: Vacuum structure in supersymmetric Yang-Mills theories with any gauge group

V.G. Kac, A.V. Smilga

Comments: 41 pages, 9 figures, 9 tables. Final version to be published in the Yuri Golfand memorial volume. We added the Appendix D with classification of all non-trivial commuting n-tuples for arbitrary n

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

[39] arXiv:hep-th/9902044 (cross-list from hep-th) [pdf, other]

Title: Singular dimensions of the N=2 superconformal algebras II: the twisted N=2 algebra

Matthias Doerrzapf, Beatriz Gato-Rivera

Comments: Latex, 29 pages

Journal-ref: Commun.Math.Phys. 220 (2001) 263-292

Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Operator Algebras (math.OA); Quantum Algebra (math.QA); Representation Theory (math.RT)

[40] arXiv:hep-th/9902141 (cross-list from hep-th) [pdf, other]

Title: Toroidal solitons in 3+1 dimensional integrable theories

H. Aratyn, L.A. Ferreira, A.H. Zimerman

Comments: LaTeX, 14 pgs

Journal-ref: Phys.Lett. B456 (1999) 162-170

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

[41] arXiv:hep-th/9902175 (cross-list from hep-th) [pdf, other]

Title: Group Approach to Quantization of Yang-Mills Theories: A Cohomological Origin of Mass

M. Calixto, V. Aldaya

Comments: 21 pages, LaTeX, no figures; final form

Journal-ref: J.Phys.A32:7287-7304,1999

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

[42] arXiv:hep-th/9902187 (cross-list from hep-th) [pdf, other]

Title: Strings, Noncommutative Geometry and the Size of the Target Space

Fedele Lizzi

Comments: 19 pages, LateX, instructions for older LateX versions

Journal-ref: Int.J.Mod.Phys. A14 (1999) 4501-4518

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

[43] arXiv:math/9902004 (cross-list from math.CO) [pdf, other]

Title: Advanced Determinant Calculus

Christian Krattenthaler (Universität Wien)

Comments: 67 pages, AmS-LaTeX; Final journal version. Some further, minor modifications

Journal-ref: S\'eminaire Lotharingien Combin. 42 (1999) (The Andrews Festschrift), paper B42q, 67 pp

Subjects: Combinatorics (math.CO); Mathematical Physics (math-ph); Classical Analysis and ODEs (math.CA); Number Theory (math.NT); Rings and Algebras (math.RA)

[44] arXiv:math/9902013 (cross-list from math.DS) [pdf, other]

Title: Rigidity for periodic magnetic fields

M. L. Bialy (Tel-Aviv University)

Comments: 8 pages, no figures

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

[45] arXiv:math/9902016 (cross-list from math.DS) [pdf, other]

Title: Variational properties of a nonlinear elliptic equation and rigidity

M. L. Bialy (Tel-Aviv University), R. S. MacKay (University of Cambridge)

Comments: 11 pages, no figures

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

[46] arXiv:math/9902063 (cross-list from math.DG) [pdf, other]

Title: Special Lagrangian Tori on a Borcea-Voisin Threefold

Peng Lu

Comments: 6 pages

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

[47] arXiv:math/9902065 (cross-list from math.QA) [pdf, other]

Title: Coadjoint Poisson actions of Poisson-Lie groups

Boris A. Kupershmidt, Ognyan S. Stoyanov

Journal-ref: J. Nonlinear Math. Phys. 6 (1999), no. 3, 344-354

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

[48] arXiv:math/9902066 (cross-list from math.QA) [pdf, other]

Title: Berezin-Toeplitz quantization and Berezin symbols for arbitrary compact Kaehler manifolds

Martin Schlichenmaier

Comments: 11 pages, Amslatex, some annoying typos removed (missing superscript, or superscripts at the wrong places)

Subjects: Quantum Algebra (math.QA); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Complex Variables (math.CV); Differential Geometry (math.DG); Symplectic Geometry (math.SG); Quantum Physics (quant-ph)

[49] arXiv:math/9902090 (cross-list from math.QA) [pdf, other]

Title: A path integral approach to the Kontsevich quantization formula

Alberto S. Cattaneo, Giovanni Felder

Comments: 22 pages, 2 figures, references added. Conjecture on the center made more precise

Journal-ref: Commun.Math.Phys. 212 (2000) 591-611

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

[50] arXiv:math/9902098 (cross-list from math.SG) [pdf, other]

Title: The Transversal Relative Equilibria of a Hamiltonian System with Symmetry

G. W. Patrick (University of Saskatchewan), R. M. Roberts (University of Warwick)

Comments: 18 pages

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