AN ALGEBRAIC APPROACH TO SOLVING EVOLUTION PROBLEMS IN SOME NONLINEARQUANTUM MODELS

Authors
KARASSIOV VP KLIMOV AB
Citation
Vp. Karassiov et Ab. Klimov, AN ALGEBRAIC APPROACH TO SOLVING EVOLUTION PROBLEMS IN SOME NONLINEARQUANTUM MODELS, Physics letters. A, 189(1-2), 1994, pp. 43-51
Citations number
31
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
189
Issue
1-2
Year of publication
1994
Pages
43 - 51
Database
ISI
SICI code
0375-9601(1994)189:1-2<43:AAATSE>2.0.ZU;2-C
Abstract
A new general Lie-algebraic approach is proposed to solve evolution pr oblems in some nonlinear models of quantum physics with polynomially d eformed Lie algebras su(pd)(2) as their dynamic symmetry algebras. The method makes use of an expansion of the evolution operators by power series in the su(pd)(2) shift operators and a (recursive) reduction of finding coefficient functions to solve auxiliary exactly solvable su( 2) problems with quadratic Hamiltonians.