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Abstract: We report on our analysis of the Coulomb singularity problem in the frame of the coupled channel scattering theory including spin-orbit interaction. We assume that the coupling between the p...
Abstract: We study the problem of locating spectral singularities of a general complex point interaction with a support at a single point. We also determine the bound states, examine the special cases...
Abstract: We show that under rather general assumptions on the form of the entropy function, the energy balance equation for a system in thermodynamic equilibrium is equivalent to a set of nonlinear e...
Abstract: We prove that the Lyapunov exponent of quasi-periodic cocyles with singularities behaves continuously over the analytic category. We thereby generalize earlier results, where singularities w...
We construct for the first time an energy-momentum tensor for the electromagnetic field of a p-brane in arbitrary dimensions, entailing finite energy-momentum integrals. The construction relies on di...
In this paper we characterize barotropic index singularities of homogeneous isotropic cosmological models [1]. They are shown to appear in cosmologies for which the scale factor is analytical with a T...
A classical model for the extension of singular spacetime geometries across their singularities is presented. The regularization introduced by this model is based on the following observation.
Spectral singularities such as exceptional points invoke specific physical effects. The present paper focuses upon the time dependent solutions of the Schr¨odinger equation. In a simple model it is d...
A class of Hamiltonian deformations of plane curves is defined and studied. Hamiltonian deformations of conics and cubics are considered as illustrative examples. These deformations are described by s...
In this talk we review the appearance of new types of singularities (big rip, sudden singularities...) in FLRW cosmological models that have arisen on considering explanations for accelerated expansio...
Spectral singularities are spectral points that spoil the completeness of the eigenfunctions of certain non-Hermitian Hamiltonian operators. We identify spectral singularities of complex scattering po...
A curious feature of complex scattering potentials v(x) is the appearance of spectral singularities. We offer a quantitative description of spectral singularities that identifies them with an obstruct...
2001Vol.35No.3pp.365-370DOI: The Critical Lines of the Yang-Lee Edge Singularities of the Anisotropic Ising Ferromagnets on Square, Triangular and Honeycomb Lattices WANG Xian-Zhi...
2002Vol.37No.4pp.385-392DOI: Formation of Singularities in One-Dimensional Hydromagnetic Flow KONG De-Xing Department of Applied Mathematics, Shanghai Jiao Tong Universi...
2005Vol.44No.3pp.563-572DOI: Effects of van Hove Singularities on Transport of Quantum Dot Systems in Kondo Regime HU Zhi-Ming,1 YANG Kai-Hua,2 and TIAN Guang-Shan1 1 Sc...

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