sigma11-049. 355KB Jun 04 2011 12:10:52 AM
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It was found in [ 7 ] that the correlation functions of the eight-vertex model can be obtained by using the free field realization of the vertex operators in the eight-vertex SOS
Considering one-dimensional (1D) quantum [1] and classical [2] Hamiltonians with polynomial ladder operators (i.e. polynomial in the momenta) satisfying a polynomial Heisenberg
In Section 4 we will address the second-order PHA, the determination of the general systems having third-order differential ladder operators and their connection with Painlev´e
Using Legendre transformation in three variables, including the remaining group parameter, we arrived at linear partial differential equations with constant coefficients which
The parameter differentiation formulae given in [ 5 ] are derivatives for associated Legendre functions of the first and second kind with respect to the degree, evaluated
The types of anisotropic evaporation coefficient are found for which the evaporation-condensation evolution does or does not have solutions that are analogous to the basic solutions
The results of qualitative analysis of Kirchhoff’s differential equations represented in the paper give evidence that the technique of investigation of mechanical systems, which
So, considering time-dependent problems in quantum mechanics in terms of the time-dependent Schr¨ odinger equation or equivalent formulations, one finds that not only classical
