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A class of non-selfadjoint, $\PT$-symmetric operators is identified similar to a self-adjoint one, thus entailing the reality of the spectrum. The similarity transformation is explicitly constructed t...
Modular and quasimodular forms have played an important role in gravity and string theory. Eisenstein series have appeared systematically in the determination of spectrums and partition functions, in ...
Abstract: Generalizing the linearisation procedure used by Dirac and later by L\'evy-Leblond, we derive the first-order non-relativistic wave equations for particles of spin 1 and spin 3/2 starting fr...
Abstract: In a noncommutative algebra there is no canonical way to express elements in univalent way, which is often called "ordering problem". In this note we give product formula of the Weyl algebra...
Abstract: The Jaynes-Cummings-Gaudin model describes a collection of $n$ spins coupled to an harmonic oscillator. It is known to be integrable, so one can define a moment map which associates to each ...
Abstract: We study derivations and Fredholm modules on metric spaces with a local regular conservative Dirichlet form. In particular, on finitely ramified fractals, we show that there is a non-trivial...
The model assumptions of the recently formulated framework of highlyanisotropic and strongly-dissipative hydrodynamics (ADHYDRO) are analyzed.In particular, we study dependence of numerical results on...
The immense interest in carbon nanomaterials continues to stimulate intense research activities aimed to realize carbon nanowires, since linear chains of carbon atoms are expected to display novel and...
Non-commutativity is ubiquitous in mathematical modeling of reality and in many cases same algebraic structures are implemented in different situations. Here we consider the canonical commutation rel...
We study local conservation laws for evolution equations in two independent variables. In particular, we present normal forms for the equations admitting one or two low-order conservation laws. Exampl...
The equations describing the Kaluza-Klein reduction of conformally flat spaces are investigated in arbitrary dimensions. Special classes of solution related to pseudo-Kahler and para-Kahler structures...
2001Vol.35No.2pp.219-222DOI: Simplified Forms of Generalized MHD Equations in a Cylindrical Plasma YANG Wei-Hong Department of Modern Physics, University of Science and ...
2006Vol.45No.4pp.596-600DOI: LU Invariants and Canonical Forms and SLOCC Classification of Pure 3-Qubit States DI Yao-Min and Cao Ya Department of Physics, Xuzhou Normal...
2003Vol.40No.5pp.607-613DOI: Effects of Interactive Function Forms in a Self-Organized Critical Model Based on Neural Networks ZHAO Xiao-Wei, ZHOU Li-Ming, and CHEN Tian-Lun ...
2004Vol.42No.1pp.121-125DOI: Effects of Interactive Function Forms and Refractoryperiod in a Self-Organized Critical Model Based on Neural Networks ZHOU Li-Ming and CHEN Tian-Lun ...

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