AN ALGEBRAIC APPROACH FOR SOLVING EVOLUTION PROBLEMS IN SOME NONLINEAR QUANTUM MODELS

Authors
KARASSIOV VP KLIMOV AB
Citation
Vp. Karassiov et Ab. Klimov, AN ALGEBRAIC APPROACH FOR SOLVING EVOLUTION PROBLEMS IN SOME NONLINEAR QUANTUM MODELS, Physics letters. A, 191(1-2), 1994, pp. 117-126
Citations number
32
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
191
Issue
1-2
Year of publication
1994
Pages
117 - 126
Database
ISI
SICI code
0375-9601(1994)191:1-2<117:AAAFSE>2.0.ZU;2-J
Abstract
A new general Lie-algebraic approach is proposed for solving evolution tasks in some nonlinear problems of quantum physics with polynomially deformed Lie algebras su(pd)(2) as their dynamic symmetry algebras. T he method makes use of an expansion of the evolution operators by powe r series in the su(pd)(2) shift operators and a (recursive) reduction finding coefficient functions for solving auxiliary exactly solvable s u (2) problems with quadratic Hamiltonians.