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Spin 1 particle is investigated in 3-dimensional curved space of constant negative curvature. An extended helicity operator is defined and the variables are separated in a tetrad-based 10-dimensional ...
Abstract: We consider integrable discretizations of some soliton equations associated with the motions of plane curves: the Wadati-Konno-Ichikawa elastic beam equation, the complex Dym equation, and t...
Abstract: We construct a free-probability quantum Yang-Mills theory on the two dimensional plane, determine the Wilson loop expectation values, and show that this theory is the $N=\infty$ limit of U(N...
Abstract: Let Z be a so-called well-behaved percolation, i.e. a certain random closed set in the hyperbolic plane, whose law is invariant under all isometries; for example the covered region in a Pois...
In this article we study the problem of a non-relativistic particle in the presence of a singular potential in the noncommutative plane. The potential contains a term proportional to $1/R^2$, where $...
Recently, Del no and Viti have examined the factorization of the three-point density correlation function P3 at the percolation point in terms of the two-point density correlation functions P2.
We discuss spectral and resonance properties of a Hamiltonian describing motion of an electron moving on a \hybrid surface" consisting on a hal ine attached by its endpoints to a plane under in uence ...
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...
We investigate a version of the Laplacian growth problem with zero surface tension in the half plane and find families of self-similar exact solutions.
A particle-in-cell ansatz for solving the Euler equations in a rotating frame is described. The approach is ideally suited for "layered" models of flows with sharp density and velocity fronts. The mat...
Field equations in the presence of a perfect fluid distribution for static plane symmetric metric are obtained in the scale invariant theory of gravitation proposed by Wesson [1]. A static Zeldovich f...
2001Vol.36No.4pp.503-508DOI: Chaotic Solitons in Deoxyribonucleic Acid (DNA) Interacting with a Plane Wave HAI Wen-Hua,1 XIAO Yi,2 FANG Jian-Shu,1 ZHANG Xi-Li1 and HUANG Wei-Li1 ...
2007Vol.48No.2pp.211-214DOI: Bi-Hamiltonian Structure of a Third-Order Nonlinear Evolution Equation on Plane Curve Motions REN Wen-Xiu1,2 and Alatancang1 1 Department of...
2007Vol.47No.5pp.847-850DOI: Brownian Motion of a Test Particle with a Normal Classical Velocity in Spacetime with a Plane Boundary FU Xiang-Yun and YU Hong-Wei Departme...
2003Vol.40No.4pp.507-512DOI: Magnetization Configuration in Magnetic Trilayer System with Out-of-Plane Component Defect HU Jing-Guo,1 JIN Guo-Jun,2 and MA Yu-Qiang2 1 De...

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