Mathematical Physics

Authors and titles for December 2005

[1] arXiv:math-ph/0512001 [pdf, other]

Title: The Borg-Marchenko Theorem with a Continuous Spectrum

Tuncay Aktosun, Ricardo Weder

Comments: To appear in the proceedings of the 2005 UAB International Conference on Differential Equations and Mathematical Physics

Subjects: Mathematical Physics (math-ph)

[2] arXiv:math-ph/0512002 [pdf, other]

Title: On kinks and other travelling-wave solutions of a modified sine-Gordon equation

Gaetano Fiore, Gabriele Guerriero, Alfonso Maio, Enrico Mazziotti

Comments: Latex file, 25 pages, 4 figures. Final version to appear in "Meccanica"

Journal-ref: Meccanica 50 (2015), 1989-2006

Subjects: Mathematical Physics (math-ph)

[3] arXiv:math-ph/0512003 [pdf, other]

Title: Non-holonomic Lagrangian systems on Lie algebroids

J. Cortes, M. de Leon, J.C. Marrero, E. Martinez

Comments: To appear in Discrete and Continuous Dynamical Systems - A

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

[4] arXiv:math-ph/0512004 [pdf, other]

Title: The Initial Value Problem, Scattering and Inverse Scattering, for Non-Linear Schr\"odinger Equations with a Potential and a Non-Local Non-Linearity

María de los Ángeles Sandoval Romero, Ricardo Weder

Journal-ref: Journal Physics A Math Gen vol 39, 11461-11478 (2006)

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

[5] arXiv:math-ph/0512005 [pdf, other]

Title: From asymptotics to spectral measures: determinate versus indeterminate moment problems

Galliano Valent (LPTHE, Lumimath)

Comments: Lecture given at the International Mediterranean Congress of Mathematics, Almeria, 6-10 june 2005, latex2e, 16 pages

Journal-ref: International Mediterranean Congress of Mathematics, Almeria, 6-10 june 2005, Espagne (2006) 327-345

Subjects: Mathematical Physics (math-ph)

[6] arXiv:math-ph/0512006 [pdf, other]

Title: Heun functions versus elliptic functions

Galliano Valent (LPTHE, Lumimath)

Comments: Communication at the International Conference on Difference Equations, Special Functions and Applications, Munich, 25-30 july 2005, latex 2e, 20 pages

Subjects: Mathematical Physics (math-ph)

[7] arXiv:math-ph/0512007 [pdf, other]

Title: Anyons, group theory and planar physics

J. Negro, M. A. del Olmo, J. Tosiek

Comments: 22 pages, journal reference added, bibliography updated

Journal-ref: J.Math.Phys.47:033508,2006

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

[8] arXiv:math-ph/0512008 [pdf, other]

Title: On the Polyharmonic Operator with a Periodic Potential

O. A. Veliev

Comments: Published in Proceeding of the Institute Math. and Mech. of the Azerbaijan Acad. of Sciences no 2 (2005)

Journal-ref: Proceeding of the Institute Math. and Mech. of the Azerbaijan Acad. of Sciences no 2 (2005)

Subjects: Mathematical Physics (math-ph)

[9] arXiv:math-ph/0512009 [pdf, other]

Title: Decay Constants of Heavy Vector Mesons in Relativistic Bethe-Salpeter Method

Guo-Li Wang

Comments: 11 pages, 7 tables

Journal-ref: Phys.Lett.B633:492-496,2006

Subjects: Mathematical Physics (math-ph)

[10] arXiv:math-ph/0512010 [pdf, other]

Title: New method for evaluating integrals involving orthogonal polynomials: Laguerre polynomial and Bessel function example

A. D. Alhaidari

Comments: Abstract does not display the integral result, which is in an image format shown in the Abstract on the manuscript

Journal-ref: Appl. Math. Lett. 20.1 (2007) 38-42

Subjects: Mathematical Physics (math-ph)

[11] arXiv:math-ph/0512011 [pdf, other]

Title: On the linear equation method for the subduction problem in symmetric groups

Vincenzo Chilla

Comments: 13 pages, 2 figures, iopart class; reference added

Journal-ref: J. Phys. A: Math. Gen. 39 (2006) 7657-7668

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

[12] arXiv:math-ph/0512012 [pdf, other]

Title: Feynman diagrams, Hopf algebras and renormalization

Herintsitohaina Ratsimbarison

Comments: 12 pages, minor corrections added

Subjects: Mathematical Physics (math-ph)

[13] arXiv:math-ph/0512013 [pdf, other]

Title: Bethe Equations for a g_2 Model

N. Crampe, C.A.S. Young

Comments: 10 pages, 3 figures

Journal-ref: J.Phys. A39 (2006) L135

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

[14] arXiv:math-ph/0512014 [pdf, other]

Title: Quantum diffusion of the random Schrodinger evolution in the scaling limit

Laszlo Erdos, Manfred Salmhofer, Horng-Tzer Yau

Comments: 68 pages, 6 .eps figures The main algorithm (Section 10) has been improved

Subjects: Mathematical Physics (math-ph)

[15] arXiv:math-ph/0512015 [pdf, other]

Title: Quantum diffusion of the random Schrodinger evolution in the scaling limit II. The recollision diagrams

Laszlo Erdos, Manfred Salmhofer, Horng-Tzer Yau

Comments: 57 pages, 15 figures Extended version on Jun 10: some more definitions from the companion paper are added to make the paper self-contained. Literature enlarged

Subjects: Mathematical Physics (math-ph)

[16] arXiv:math-ph/0512016 [pdf, other]

Title: On Graph-Theoretic Identifications of Adinkras, Supersymmetry Representations and Superfields

C.F. Doran, M.G. Faux, S.J. Gates Jr., T. Hubsch, K.M. Iga, G.D. Landweber

Comments: LaTeX, 58 pages, 52 illustrations in color; minor typos corrected

Journal-ref: Int.J.Mod.Phys.A22:869-930,2007

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

[17] arXiv:math-ph/0512017 [pdf, other]

Title: Gauge-natural field theories and Noether Theorems: canonical covariant conserved currents

Marcella Palese, Ekkehart Winterroth (Dept. Math. Univ. Torino, Italy)

Comments: 16 pages, abstract rewritten, body slightly revised, Proc. Winter School "Geometry and Physics" (Srni,CZ 2005)

Journal-ref: Rend. Circ. Matem. Palermo, Serie II, Suppl. 79 (2006) 161--174

Subjects: Mathematical Physics (math-ph)

[18] arXiv:math-ph/0512018 [pdf, other]

Title: On Phase Transitions for $P$-Adic Potts Model with Competing Interactions on a Cayley Tree

Farrukh Mukhamedov, Utkir Rozikov, Jose Fernando F. Mendes

Comments: 12 pages, to appear in the Proceedings of the '2nd International Conference on p-Adic Mathematical Physics' (Belgrade, 15-21 September 2005) published by AIP Conference Proceedings

Journal-ref: Proceedings of the '2nd International Conference on p-Adic Mathematical Physics' (Belgrade, 15-21 September 2005) published by AIP Conference Proceedings, Vol. 826, 2006, pp.140-150

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

[19] arXiv:math-ph/0512019 [pdf, other]

Title: Confined One Dimensional Harmonic Oscillator as a Two-Mode System

V. G. Gueorguiev, A. R. P. Rau, J. P. Draayer

Comments: 11 pages and 9 figures; Submitted to American Journal of Physics

Journal-ref: American Journal of Physics 74 (5) 394 (2006)

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

[20] arXiv:math-ph/0512020 [pdf, other]

Title: Recent Progress in Quantum Spin Systems

Bruno Nachtergaele, Robert Sims

Comments: To appear in Markov Processes and Related Fields (J.T. Lewis special edition)

Journal-ref: Markov Processes Rel. Fields (J.T. Lewis special edition), 13 (2007) 315-329

Subjects: Mathematical Physics (math-ph)

[21] arXiv:math-ph/0512021 [pdf, other]

Title: Simultaneous eigenstates of the number-difference operator and a bilinear interaction Hamiltonian derived by solving a complex differential equation

Hong-yi Fan, Wei-bo Gao

Subjects: Mathematical Physics (math-ph)

[22] arXiv:math-ph/0512022 [pdf, other]

Title: The Guillemin-Sternberg conjecture for noncompact groups and spaces

P. Hochs, N.P. Landsman

Comments: 55 pages, small corrections and additions after referee reports, Appendix A shortened, Appendix B replaced by reference

Journal-ref: Journal of K-theory 1 (2008), pp. 473-533

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

[23] arXiv:math-ph/0512023 [pdf, other]

Title: On the Asymptotic Dynamics of a Quantum System Composed by Heavy and Light Particles

Riccardo Adami, Rodolfo Figari, Domenico Finco, Alessandro Teta

Comments: 38 pages

Subjects: Mathematical Physics (math-ph)

[24] arXiv:math-ph/0512024 [pdf, other]

Title: Supersymmetric extensions of Schr\"odinger-invariance

Malte Henkel, Jeremie Unterberger

Comments: Latex 2e, 46 pages, with 3 figures included

Journal-ref: Nucl.Phys. B746 (2006) 155-201

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

[25] arXiv:math-ph/0512025 [pdf, other]

Title: Lie symmetries of semi-linear Schr\"odinger equations and applications

Stoimen Stoimenov, Malte Henkel

Comments: Latex 2e, 6 pages, 1 figure, IOP macros, presented the the summer school `Ageing and the glass transition' Luxemburg 18-24 sept 2005

Journal-ref: J.Phys.Conf.Ser. 40 (2006) 144-149

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

[26] arXiv:math-ph/0512026 [pdf, other]

Title: MIMO Channel Correlation in General Scattering Environments

Tharaka A. Lamahewa, Rodney A. Kennedy, Thushara D. Abhayapala, Terence Betlehem

Comments: Australian Communication Theory Workshop Proceedings 2006, Perth Western Australia. (accepted)

Subjects: Mathematical Physics (math-ph); Information Theory (cs.IT)

[27] arXiv:math-ph/0512027 [pdf, other]

Title: Neumann-like integrable models

Galliano Valent (LPTHE, Lumimath), Hamed Ben Yahia (LPTHE)

Comments: 8 pages; latex2e;no figure. To appear in Physics Letters A

Journal-ref: Physics Letters A 360 (2007) 435-438

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

[28] arXiv:math-ph/0512028 [pdf, other]

Title: Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives

Nicole Heymans, Igor Podlubny

Comments: LaTeX2e, 14 pages

Journal-ref: Rheologica Acta, Vol. 45, No. 5, June 2006, pp.765-771. Journal ISSN 0035-4511 (Print) 1435-1528 (Online). Online Date: 29 November 2005.

Subjects: Mathematical Physics (math-ph)

[29] arXiv:math-ph/0512029 [pdf, other]

Title: Compact Simple Lie Groups and Their C-, S-, and E-Transforms

Jiri Patera

Comments: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at this http URL

Journal-ref: SIGMA 1 (2005), 025, 6 pages

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

[30] arXiv:math-ph/0512030 [pdf, other]

Title: Asymptotic rate of quantum ergodicity in chaotic Euclidean billiards

Alex H. Barnett

Comments: 38 pages, 11 figures, version of Jan '06, in review, Comm. Pure Appl. Math

Subjects: Mathematical Physics (math-ph)

[31] arXiv:math-ph/0512031 [pdf, other]

Title: New Facts about Berezinians

Hovhannes M. Khudaverdian, Theodore Th. Voronov

Comments: LaTeX, 8 pages

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

[32] arXiv:math-ph/0512032 [pdf, other]

Title: Asymptotic Hamiltonian reduction for the dynamics of a particle on a surface

V. L. Golo, D. O. Sinitsyn

Subjects: Mathematical Physics (math-ph)

[33] arXiv:math-ph/0512033 [pdf, other]

Title: Jacobian variety and Integrable system -- after Mumford, Beauville and Vanhaecke

Rei Inoue, Yukiko Konishi, Takao Yamazaki

Comments: 21 pages. The previous version of this manuscript was entitled `Integrable Hamiltonian system on the Jacobian of a spectral curve -- after Beauville'

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

[34] arXiv:math-ph/0512034 [pdf, other]

Title: An inverse scattering problem for the Schr\"{o}dinger equation in a semiclassical process

François Nicoleau (LMJL)

Comments: 9 pages

Subjects: Mathematical Physics (math-ph)

[35] arXiv:math-ph/0512035 [pdf, other]

Title: The Drinfeld double gl(n) \oplus t_n

A. Ballesteros, E. Celeghini, M. A. del Olmo

Comments: 8 pages

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

[36] arXiv:math-ph/0512036 [pdf, other]

Title: Transformation brackets between U(n+1) -> U(n) -> SO(n) and U(n+1) -> SO(n+1) -> SO(n)

Elena Santopinto, Roelof Bijker, Francesco Iachello

Comments: 8 pages

Journal-ref: J.Math.Phys. 37 (1996) 2674-2681

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

[37] arXiv:math-ph/0512037 [pdf, other]

Title: Spectrum and Bethe ansatz equations for the U_ {q}(gl(N)) closed and open spin chains in any representation

D. Arnaudon, N. Crampe, A. Doikou, L. Frappat, E. Ragoucy

Comments: 48 pages; Bounds on parameters Mj corrected; References added; Examples added

Journal-ref: Ann. H. Poincare vol. 7 (2006) 1217

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

[38] arXiv:math-ph/0512038 [pdf, other]

Title: Transformation Groups on Real Plane and their Differential Invariants

Maryna Nesterenko

Comments: 15 pages, essentialy extended and corrected version

Journal-ref: Int. J. Math. Math. Sci. 2006, 17410, 17 pp.

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

[39] arXiv:math-ph/0512039 [pdf, other]

Title: On Stochastic Generators of Completely Positive Cocycles

V. P. Belavkin

Comments: 7 pages

Journal-ref: Published in: Russian Journal of Math. Phys. 3 (1995) No 4, 523--528

Subjects: Mathematical Physics (math-ph)

[40] arXiv:math-ph/0512040 [pdf, other]

Title: Boson Stars as Solitary Waves

Juerg Froehlich, B. Lars G. Jonsson, Enno Lenzmann

Comments: 30 pages

Journal-ref: Commun.Math.Phys.274:1-30,2007

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

[41] arXiv:math-ph/0512041 [pdf, other]

Title: Particles in a magnetic field and plasma analogies: doubly periodic boundary conditions

P.J. Forrester

Comments: 12 pages

Journal-ref: J. Phys. A, 39, 13025 (2006)

Subjects: Mathematical Physics (math-ph)

[42] arXiv:math-ph/0512042 [pdf, other]

Title: Quantum Stochastic Positive Evolutions: Characterization, Construction, Dilation

V. P. Belavkin

Comments: 33 pages

Journal-ref: Published in: Commun. Math. Phys. 184 (1997) 533-566

Subjects: Mathematical Physics (math-ph)

[43] arXiv:math-ph/0512043 [pdf, other]

Title: A Combinatorial Optimization Approach to the Stability of Biomacromolecular Structures

R. P. Mondaini

Comments: 13 pages, 4 figures

Subjects: Mathematical Physics (math-ph)

[44] arXiv:math-ph/0512044 [pdf, other]

Title: A class of spatio-temporal and causal stochastic processes, with application to multiscaling and multifractality

J. Schmiegel, O. E. Barndorff-Nielsen, H. C. Eggers

Comments: 16 pages, 3 figures

Journal-ref: South African Journal of Science 101,513-519 (2005)

Subjects: Mathematical Physics (math-ph)

[45] arXiv:math-ph/0512045 [pdf, other]

Title: Renormalization Group versus Kolmogorov-Sinai entropy: a very simple remark

Gavriel Segre

Comments: corrected Theorem 2.1

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

[46] arXiv:math-ph/0512046 [pdf, other]

Title: Modular Action on the Massive Algebra

Timor Saffary

Subjects: Mathematical Physics (math-ph)

[47] arXiv:math-ph/0512047 [pdf, other]

Title: From Orbital Varieties to Alternating Sign Matrices

P. Di Francesco, P. Zinn-Justin

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

[48] arXiv:math-ph/0512048 [pdf, other]

Title: Reply to comment on calculation of two-center nuclear attraction integrals over integer and noninteger n-Slater-type orbitals in nonlined-up coordinate systems

Telhat Ozdogan

Comments: 5 pages

Subjects: Mathematical Physics (math-ph); Materials Science (cond-mat.mtrl-sci); High Energy Physics - Phenomenology (hep-ph); Quantum Physics (quant-ph)

[49] arXiv:math-ph/0512049 [pdf, other]

Title: Geometry of Integrable Billiards and Pencils of Quadrics

Vladimir Dragovic, Milena Radnovic

Comments: 49 pages, 14 figures

Journal-ref: J. Math. Pures Appl. (9) 85 (2006), no. 6, 758--790

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

[50] arXiv:math-ph/0512050 [pdf, other]

Title: A Hardy inequality in twisted waveguides

T. Ekholm, H. Kovarik, D. Krejcirik

Comments: LaTeX, 20 pages

Journal-ref: Arch. Ration. Mech. Anal. 188 (2008), no. 2, 245-264.

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