An Algebraic Approach to Solving Evolution Problems in Some Nonlinear Quantum Models
High Energy Physics - Theory
2009-10-28 v2
Abstract
A new general Lie-algebraic approach is proposed to solving evolution tasks in some nonlinear problems of quantum physics with polynomially deformed Lie algebras as their dynamic symmetry algebras. The method makes use of an expansion of the evolution operators by power series in the shift operators and a (recursive) reduction of finding coefficient functions to solving auxiliary exactly solvable problems with quadratic Hamiltonians. PACS numbers: 03.70; 02.20; 42.50
Keywords
Cite
@article{arxiv.hep-th/9404027,
title = {An Algebraic Approach to Solving Evolution Problems in Some Nonlinear Quantum Models},
author = {Valery P. Karassiov and Andrei B. Klimov},
journal= {arXiv preprint arXiv:hep-th/9404027},
year = {2009}
}
Comments
(11pages). LATEX