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Nearest Neighbor Distances on a Circle: Multidimensional Case
Multidimensional Case Mathematical Physics Dynamical Systems
2011/9/16
Abstract: We study the distances, called spacings, between pairs of neighboring energy levels for the quantum harmonic oscillator. Specifically, we consider all energy levels falling between E and E+1...
Ghirlanda-Guerra identities and ultrametricity: An elementary proof in the discrete case
spin glasses Sherrington-Kirkpatrick model ultrametricity
2011/7/28
Abstract: In this paper we give another proof of the fact that a random overlap array, which satisfies the Ghirlanda-Guerra identities and whose elements take values in a finite set, is ultrametric wi...
Quantum mechanical potentials exactly solvable in terms of higher hypergeometric functions. I: The third-order case
Quantum mechanical higher hypergeometric third-order
2011/7/25
Abstract: We present a new six-parameter family of potentials whose solutions are expressed in terms of the hypergeometric functions 3F2, 2F2 and 1F2. Both the scattering data and the bound states of ...
The Spin-weighted Spheroidal Wave functions in the Case of s=1/2
Spin-weighted Spheroidal Wave functions Case of s=1/2
2010/12/21
The spin-weighted spheroidal equations in the case s = 1/2 is thoroughly studied in the paper by means of the perturbation method in supersymmetry quantum mechanics.
Natural connections for semi-Hamiltonian systems: The case of the $\epsilon$-system
Natural connections semi-Hamiltonian systems
2010/4/7
Given a semi-Hamiltonian system, we construct an $F$-manifold with a connection satisfying a suitable compatibility condition with the product. We exemplify this procedure in the case of the so-called...
Conformal Affine Toda Fields on Loop Algebra: A2(2) Case
conformal invariant loop algebra Toda R-matrix
2007/8/15
2001Vol.35No.4pp.435-440DOI:
Conformal Affine Toda Fields on Loop Algebra: A2(2) Case
CHAO Liu and YANG Zhan-Ying
Institute of Modern Physics, Northwest University, Xi'a...
Transition State Theory Rate in Nonlinear Environment: the Under-damping Case
Kramers' escape rate nonlinear Fokker-Planck equation anomalous diffusion
2007/8/15
2005Vol.44No.4pp.752-756DOI:
Transition State Theory Rate in Nonlinear Environment: the Under-damping Case
ZHAO Jiang-Lin and BAO Jing-Dong
Physics Department, Beijing N...