Mathematical Physics

New submissions

Submissions received from Wed 7 May 08 to Thu 8 May 08, announced Fri, 9 May 08
[ total of 11 entries: 1-11 ]
[ showing up to 2000 entries per page: fewer | more ]

New submissions for Fri, 9 May 08

[1]  arXiv:0805.1100 [ps, pdf, other]
Title: Time-Periodic Solutions of the Einstein's Field Equations
Authors: De-Xing Kong, Kefeng Liu
Comments: 8 pages, 3 figures
Subjects: Mathematical Physics (math-ph)

In this paper, we develop a new method to find the exact solutions of the Einstein's field equations by using which we construct time-periodic solutions. The singularities of the time-periodic solutions are investigated and some new physical phenomena, such as degenerate event horizon and timeperiodic event horizon, are found. The applications of these solutions in modern cosmology and general relativity are expected.

[2]  arXiv:0805.1131 [ps, pdf, other]
Title: Sufficient conditions for superstability of many-body interactions
Authors: Maksym Tertychnyi
Comments: 15 pages
Subjects: Mathematical Physics (math-ph)

A detailed analysis of necessary conditions on a family of many-body potentials, which ensure stability, superstability or strong superstability of a statistical system is given in present work.There has been given also an example of superstable many-body interaction.

[3]  arXiv:0805.1195 [ps, pdf, other]
Title: Dimer lambda_3 = .453 +/- .001 and Some Other Very Intelligent Guesses
Authors: Paul Federbush
Comments: 4 pages
Subjects: Mathematical Physics (math-ph)

Working with a presumed asymptotic series for lambda_d developed in previous work, we make some intelligent guesses for lambda_d with d=3, 4, 5; and estimates for the corresponding errors. We present arguments in favor of these guesses, we earnestly believe they will turn out to be correct. Such approximate values may help stimulate people working on rigorous bounds. In addition to suggesting bounds to prove, there will be the strong motivation to prove me wrong.

[4]  arXiv:0805.1224 [ps, pdf, other]
Title: The Lorentz group and its finite field analogues: local isomorphism and approximation
Authors: Stephan Foldes
Subjects: Mathematical Physics (math-ph)

Finite Lorentz groups acting on 4-dimensional vector spaces coordinatized by finite fields with a prime number of elements are represented as homomorphic images of countable, rational subgroups of the Lorentz group acting on real 4-dimensional space-time. Bounded subsets of the real Lorentz group are retractable with arbitrary accuracy to finite subsets of such rational subgroups. These finite retracts correspond, via local isomorphisms, to well-behaved subsets of Lorentz groups over finite fields. This establishes a relationship of approximation between the real Lorentz group and Lorentz groups over very large finite fields.

Cross-lists for Fri, 9 May 08

[5]  arXiv:0805.1009 (cross-list from hep-th) [ps, pdf, other]
Title: Comparing two different K-theoretical classifications of D-branes
Authors: Fabio Ferrari Ruffino, Raffaele Savelli
Comments: 40 pages, no figures
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); K-Theory and Homology (math.KT)

We consider the two main classification schemes of D-brane charges via K-theory: the Gysin map approach, concerning the charge related to the entire trajectory, and the Atiyah-Hirzebruch spectral sequence, concerning the charge conserved in time. Then, we find out an explicit link between these two approaches: the Gysin map at a fixed instant provides a representative element of the equivalence class obtained via the spectral sequence. Moreover, we discuss the case of rational coefficients, characterized by a complete equivalence between the two classification methods.

[6]  arXiv:0805.1173 (cross-list from math.AP) [ps, pdf, other]
Title: Universal estimates for parabolic equations and applications for non-linear and non-local problems
Authors: Nikolai Dokuchaev
Comments: 18 pages
Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

We obtain some "universal" estimates for $L_2$-norm of the solution of a parabolic equation via a weighted version of $H^{-1}$-norm of the free term. More precisely, we found the limit upper estimate that can be achieved by transformation of the equation by adding a constant to the zero order coefficient. The inverse matrix of the higher order coefficients of the parabolic equation is included into the weight for the $H^{-1}$-norm. The constant in the estimate obtained is independent from the choice of the dimension, domain, and the coefficients of the parabolic equation, it is why it can be called an universal estimate. As an example of applications, we found an asymptotic upper estimate for the norm of the solution at initial time. As an another example, we established existence and regularity for non-linear and non-local problems.

Replacements for Fri, 9 May 08

[7]  arXiv:hep-th/0702162 (replaced) [ps, pdf, other]
Title: Positive-definite states of a Klein-Gordon type particle
Authors: A.A. Semenov, C.V. Usenko, B.I. Lev
Comments: 10 pages
Journal-ref: Physics Letters A 372, 4180 (2008)
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Quantum Physics (quant-ph)
[8]  arXiv:math/0703679 (replaced) [ps, pdf, other]
Title: Holonomy of supermanifolds
Authors: Anton S. Galaev
Comments: Extanded version, 33 pages
Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph)
[9]  arXiv:0801.4960 (replaced) [ps, pdf, other]
Title: Hyperbolic Hubbard-Stratonovich transformation made rigorous
Authors: Y.V. Fyodorov, Y. Wei, M.R. Zirnbauer
Comments: 21 pages, 2 figures
Journal-ref: J. Math. Phys. 49, 053507 (2008)
Subjects: Mathematical Physics (math-ph); Mesoscopic Systems and Quantum Hall Effect (cond-mat.mes-hall)
[10]  arXiv:0804.4106 (replaced) [ps, pdf, other]
Title: Correlation function of the Schur process with a fixed final partition
Authors: T. Imamura, T. Sasamoto
Comments: 28 pages, 2 figures
Subjects: Mathematical Physics (math-ph)
[11]  arXiv:0804.4160 (replaced) [ps, pdf, other]
Title: On the visual appearance of relativistic objects
Authors: Jack Morava
Comments: Fun for the whole family!
Subjects: Mathematical Physics (math-ph); Algebraic Geometry (math.AG)
[ total of 11 entries: 1-11 ]
[ showing up to 2000 entries per page: fewer | more ]