Mathematics

Authors and titles for February 2002

[1] arXiv:math-ph/0202001 [pdf, other]

Title: One non-relativistic particle coupled to a photon field

Christian Hainzl

Comments: final version, to appear in Ann. Henri Poincare

Subjects: Mathematical Physics (math-ph)

[2] arXiv:math-ph/0202002 [pdf, other]

Title: A Parametrization of Bipartite Systems Based on SU(4) Euler Angles

Todd Tilma, Mark S. Byrd, E. C. G. Sudarshan

Comments: 23 pages, no figures; changed title and abstract and rewrote certain areas in line with referee comments. To be published in J. Phys. A: Math. and Gen

Journal-ref: J. Phys. A: Math. Gen. 35 (2002) 10445-10465

Subjects: Mathematical Physics (math-ph)

[3] arXiv:math-ph/0202003 [pdf, other]

Title: Microlocal analysis of quantum fields on curved spacetimes: Analytic wavefront sets and Reeh-Schlieder theorems

Alexander Strohmaier, Rainer Verch, Manfred Wollenberg

Comments: 31 pages, latex2e

Journal-ref: J.Math.Phys. 43 (2002) 5514-5530

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

[4] arXiv:math-ph/0202004 [pdf, other]

Title: On the Spectrum of Holonomy Algebras

Maria Cristina Abbati, Alessandro Mania`

Comments: 23 pages, no figures, to appear in this http URL

Journal-ref: J.Geom.Phys. 44 (2002) 96-114

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

[5] arXiv:math-ph/0202005 [pdf, other]

Title: Causal Relations and their applications

Alfonso García-Parrado, José M. M. Senovilla

Comments: Contribution to the proceedings of the 1st congress of Lorentzian Geometry held at Benalmádena (Málaga, Spain) Replaced version. Some minor changes added

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

[6] arXiv:math-ph/0202006 [pdf, other]

Title: Some Theorems in Thermoelasticity for Micropolar Porous Media

G.Iovane, F.Passarella

Comments: 15 pages, accepted by this http URL

Subjects: Mathematical Physics (math-ph)

[7] arXiv:math-ph/0202007 [pdf, other]

Title: On the spatial behaviour in dynamics of porous elastic mixtures

M.Ciarletta, G.Iovane, F.Passarella

Comments: 25pages, accepted by Ukcrainian this http URL

Subjects: Mathematical Physics (math-ph)

[8] arXiv:math-ph/0202008 [pdf, other]

Title: Quantum Geometry In Action: Big Bang and Black Holes

Abhay Ashtekar

Comments: 18 pages, 2 figures; to appear in the proceedings of the conference "Graphs and Patterns in Mathematics and Theoretical Physics" celebrating 60th birthday of Dennis Sullivan, held at Stony Brook in June 2001

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

[9] arXiv:math-ph/0202009 [pdf, other]

Title: On the relation between the Maxwell system and the Dirac equation

Vladislav V. Kravchenko

Comments: Submitted the 18 of Dec., 2001 to Proceedings of 4th WSEAS Int. Conf. on Mathematics and Computers in Physics, Cancun, Mexico, May 12-16, 2002

Journal-ref: WSEAS Transactions on Systems, 2002, v. 1, No. 2, 115-118.

Subjects: Mathematical Physics (math-ph)

[10] arXiv:math-ph/0202010 [pdf, other]

Title: Quaternionic equation for electromagnetic fields in inhomogeneous media

Vladislav V. Kravchenko

Comments: Submitted to Proceedings of the Third ISAAC congress in Berlin in August 2001

Journal-ref: World Scientific, "Progress in Analysis", v. 1, Eds. H. Begehr, R. Gilbert and M. Wah Wong, 361-366, 2003

Subjects: Mathematical Physics (math-ph)

[11] arXiv:math-ph/0202011 [pdf, other]

Title: On the Algebra of Fluctuation in Quantum Spin Chains

Taku Matsui

Subjects: Mathematical Physics (math-ph)

[12] arXiv:math-ph/0202012 [pdf, other]

Title: A new geometric setting for classical field theories

M. de Leon, J.C. Marrero, D. Martin de Diego

Comments: 22 pages

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

[13] arXiv:math-ph/0202013 [pdf, other]

Title: Some New Results on the Kinetic Ising Model in a Pure Phase

T. Bodineau, F. Martinelli

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

[14] arXiv:math-ph/0202014 [pdf, other]

Title: Hydrodynamics of a driven lattice gas with open boundaries: the asymmetric simple exclusion

O. Benois, R. Esposito, R. Marra, M. Mourragui

Subjects: Mathematical Physics (math-ph)

[15] arXiv:math-ph/0202015 [pdf, other]

Title: On local perturbations of Shrodinger operator in axis

R.R. Gadyl'shin

Comments: 9 pages

Journal-ref: Teoreticheckaya i matematicheskaya fizika, 2002, v. 132, No. 1, P. 97-104 (in Russian), translated in Theoretical and Mathematical Physics, 2002, V. 132, No. 1.

Subjects: Mathematical Physics (math-ph)

[16] arXiv:math-ph/0202016 [pdf, other]

Title: Retraction of the bivariant Chern character

Denis Perrot

Comments: 45 pages

Journal-ref: K-Theory 31 (2004) 233-287

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

[17] arXiv:math-ph/0202017 [pdf, other]

Title: Instantaneous frequency and amplitude identification using wavelets: Application to glass structure

J.D. Harrop, S.N. Taraskin, S.R. Elliott

Comments: 9 pages, 19 figures; v1.04 higher quality diagrams, removed mathematica font requirements

Subjects: Mathematical Physics (math-ph)

[18] arXiv:math-ph/0202018 [pdf, other]

Title: The Laplacian and $\bar\partial$ operators on critical planar graphs

Richard Kenyon

Comments: 25 pages

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

[19] arXiv:math-ph/0202019 [pdf, other]

Title: Conserved currents of massless fields of spin s>0

Stephen C. Anco, Juha Pohjanpelto

Comments: 26 pages; final version with minor changes, accepted in Proc. Roy. Soc. A (London)

Journal-ref: Proc.Roy.Soc.Lond. A459 (2003) 1215-1240

Subjects: Mathematical Physics (math-ph)

[20] arXiv:math-ph/0202020 [pdf, other]

Title: Fractional Darboux Transformations

Mayer Humi

Comments: 15 pages,submitted N.C. B corrected some typos added two references

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

[21] arXiv:math-ph/0202021 [pdf, other]

Title: Time-Energy coherent states and adiabatic scattering

J.E. Avron, A. Elgart, G.M. Graf, L. Sadun

Comments: 11 pages, 1 figure

Subjects: Mathematical Physics (math-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Quantum Physics (quant-ph)

[22] arXiv:math-ph/0202022 [pdf, other]

Title: On the Number of Positive Solutions to a Class of Integral Equations

Long Wang, Wensheng Yu, Lin Zhang

Comments: 9 pages

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

[23] arXiv:math-ph/0202023 [pdf, other]

Title: Exceptional Lie Superalgebras, Invariant Morphisms, and a Second-Gauged Standard Model

T A Larsson

Subjects: Mathematical Physics (math-ph)

[24] arXiv:math-ph/0202024 [pdf, other]

Title: The Index Theorem for Homogeneous Differential Operators on Supermanifolds

Dimitry Leites (University of Stockholm)

Comments: 4 pages, Latex

Journal-ref: Ivanov E. et. al. (eds.) {\it Supersymmetries and Quantum Symmetries} (SQS'99, 27--31 July, 1999), Dubna, JINR, 2000, 405--408

Subjects: Mathematical Physics (math-ph)

[25] arXiv:math-ph/0202025 [pdf, other]

Title: Defining relations for the exceptional Lie superalgebras of vector fields pertaining to The Standard Model

Pavel Grozman, Dimitry Leites (University of Stockholm), Irina Shchepochkina (Independent University of Moscow)

Comments: 42 pages, Latex

Journal-ref: In: C.Duval, L.Guieu, V.Ovsienko (eds.) The orbit method in geometry and physics: in honor of A.A.Kirillov. Progress in Mathematics, Birkhauser, 2003, 101-146

Subjects: Mathematical Physics (math-ph)

[26] arXiv:math-ph/0202026 [pdf, other]

Title: Supermanifolds - Application to Supersymmetry

Pierre Cartier, Cecile DeWitt-Morette, Matthias Ihl, Christian Saemann, Maria E. Bell

Comments: to appear in the "Michael Marinov Memorial Volume"

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

[27] arXiv:math-ph/0202027 [pdf, other]

Title: On B\"{a}cklund transformations and boundary conditions associated with the quantum inverse problem for a discrete nonlinear integrable system and its connection to Baxter's Q-operator

A. Ghose Choudhury, A. Roy Chowdhury

Subjects: Mathematical Physics (math-ph)

[28] arXiv:math-ph/0202028 [pdf, other]

Title: Scattering phase shift for relativistic separable potential with Laguerre-type form factors

A. D. Alhaidari

Comments: 7 pages, one table

Journal-ref: The J-Matrix Method: Developments and Applications (Springer, Dordrecht, Netherlands, 2008) pages 67-81

Subjects: Mathematical Physics (math-ph)

[29] arXiv:math-ph/0202029 [pdf, other]

Title: Superenergy tensors and their applications

J. M. M. Senovilla

Comments: 20 pages, no figures; Invited lecture presented at the 1st Conference on Lorentzian Geometry, "Benalmadena 2001"

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

[30] arXiv:math-ph/0202030 [pdf, other]

Title: On entanglement of states and quantum correlations

W A Majewski

Comments: 12 pages

Subjects: Mathematical Physics (math-ph)

[31] arXiv:math-ph/0202031 [pdf, other]

Title: On Kolgomorov-Sinai entropy and its quantization

W A Majewski

Comments: 10 pages

Subjects: Mathematical Physics (math-ph)

[32] arXiv:math-ph/0202032 [pdf, other]

Title: Playing with Fidelities

Peter M. Alberti

Comments: AMS-LaTeX v1.2, 31 pages

Journal-ref: Rep.Math.Phys., 53(1): 87-125, 2003

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

[33] arXiv:math-ph/0202033 [pdf, other]

Title: Adler-Kostant-Symes systems as Lagrangian gauge theories

L. Feher, A. Gabor

Comments: 10 pages, LaTeX2e

Journal-ref: Phys.Lett. A301 (2002) 58-64

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

[34] arXiv:math-ph/0202034 [pdf, other]

Title: Tau-function on Hurwitz spaces

A. Kokotov, D.Korotkin

Comments: Substantial expansion; higher genus case is added

Subjects: Mathematical Physics (math-ph)

[35] arXiv:math-ph/0202035 [pdf, other]

Title: A tracial quantum central limit theorem

Greg Kuperberg (UC Davis)

Comments: 7 pages

Journal-ref: Trans. Amer. Math. Soc. 357 (2005), 459-471

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

[36] arXiv:math-ph/0202036 [pdf, other]

Title: WITHDRAWN: Adiabatic charge transport and the Kubo formula for 2D Hall conductance

Michael Aizenman, Alexander Elgart, Jeffrey H. Schenker

Subjects: Mathematical Physics (math-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

[37] arXiv:math-ph/0202037 [pdf, other]

Title: From the Toda Lattice to the Volterra lattice and back

Pantelis A. Damianou, Rui L. Fernandes

Comments: 15 pages; Final version to appear in Reports on Math. Phys

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

[38] arXiv:math-ph/0202038 [pdf, other]

Title: On Bures-Distance and *-Algebraic Transition Probability between Inner Derived Positive Linear Forms over W*-Algebra

Peter M. Alberti, Armin Uhlmann

Comments: LaTeX2e (elsart), 40 pages

Journal-ref: Acta Applicandae Mathematicae, 60(1):1--37, 2000

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

[39] arXiv:math-ph/0202039 [pdf, other]

Title: On the Classical Solutions of the Perturbed, Massless Wave Equation with Singular Potential

Ashwin Vaidya, George Sparling

Comments: 15 pages, no figures

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

[40] arXiv:math-ph/0202040 [pdf, other]

Title: The introduction to the operator method for solving differential equations.First-order DE

Yu. N. Kosovtsov

Comments: 18 pages

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

[41] arXiv:math-ph/0202041 [pdf, other]

Title: Algebraic quantization of the closed bosonic string

C. Meusburger, K.-H. Rehren

Comments: 22 pages. Revised: minor changes as in the published version (CMP)

Journal-ref: Commun.Math.Phys.237:69-85,2003

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

[42] arXiv:math-ph/0202042 [pdf, other]

Title: Delone dynamical systems and associated random operators

Daniel Lenz, Peter Stollmann

Comments: 19 pages; revised version

Subjects: Mathematical Physics (math-ph)

[43] arXiv:math-ph/0202043 [pdf, other]

Title: The Poisson Bracket for Poisson Forms in Multisymplectic Field Theory

Michael Forger, Cornelius Paufler, Hartmann Roemer

Comments: 40 pages LaTeX

Journal-ref: Rev.Math.Phys. 15 (2003) 705-744

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

[44] arXiv:math-ph/0202044 [pdf, other]

Title: For the Quantum Heisenberg Ferromagnet, Tao to the Proof of a Phase Transition

Paul Federbush

Comments: 11 pages

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

[45] arXiv:math-ph/0202045 [pdf, other]

Title: HCIZ integral and 2D Toda lattice hierarchy

P. Zinn-Justin

Comments: 20 pages. various minor improvements/corrections

Journal-ref: Nucl.Phys. B634 (2002) 417-432

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

[46] arXiv:math-ph/0202046 [pdf, other]

Title: Quantum Multipole Noise and Generalized Quantum Stochastic Equations

A. N. Pechen, I. V. Volovich

Comments: Replaced with version published in IDAQP. Terminology is changed

Journal-ref: Infinite Dimensional Analysis, Quantum Probability and Related Topics, Vol. 5, No 4 (2002) 441-464

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

[47] arXiv:math-ph/0202047 [pdf, other]

Title: The Atiyah--Hitchin bracket and the open Toda lattice

K. Vaninsky

Comments: 26 pages, 2 figures

Journal-ref: Jour. Geometry and Physics 46 (2003) 283-307

Subjects: Mathematical Physics (math-ph)

[48] arXiv:math-ph/0202048 [pdf, other]

Title: A Model of a Turbulent Boundary Layer With a Non-Zero Pressure Gradient

G. I. Barenblatt, A. J. Chorin, V. M. Prostokishin

Comments: 10 pages, 9 figures

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

[49] arXiv:math/0202001 [pdf, other]

Title: From fractal groups to fractal sets

Laurent Bartholdi, Rostislav I. Grigorchuk, Volodymyr V. Nekrashevych

Comments: about 75 pages, with many postscript figures

Journal-ref: Fractals in Graz 2001, 25--118, Trends Math., Birkhauser, Basel, 2003

Subjects: Group Theory (math.GR); Dynamical Systems (math.DS)

[50] arXiv:math/0202002 [pdf, other]

Title: The number of plane conics 5-fold tangent to a given curve

Andreas Gathmann

Comments: 16 pages

Subjects: Algebraic Geometry (math.AG)