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Title: An algebraic approach to solving evolution problems in some nonlinear quantum models
Author: Karassiov, V.P.
Klimov, Andrei B.
Issue Date: 1994
Abstract: A new general Lie-algebraic approach is proposed to solve evolution problems in some nonlinear models of quantum physics with polynomially deformed Lie algebras supd(2) as their dynamic symmetry algebras. The method makes use of an expansion of the evolution operators by power series in the supd(2) shift operators and a (recursive) reduction of finding coefficient functions to solve auxiliary exactly solvable su(2) problems with quadratic Hamiltonians. Zapotitlán 1994.
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