QUASI-EXACTLY SOLVABLE PROBLEMS AND RANDOM-MATRIX THEORY

Authors
CICUTA GM USHVERIDZE AG
Citation
Gm. Cicuta et Ag. Ushveridze, QUASI-EXACTLY SOLVABLE PROBLEMS AND RANDOM-MATRIX THEORY, Physics letters. A, 215(3-4), 1996, pp. 167-175
Citations number
24
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
215
Issue
3-4
Year of publication
1996
Pages
167 - 175
Database
ISI
SICI code
0375-9601(1996)215:3-4<167:QSPART>2.0.ZU;2-E
Abstract
There exists an exact relationship between the quasi-exactly solvable problems of quantum mechanics and models of square and rectangular ran dom complex matrices. This relationship enables one to reduce the prob lem of constructing topological (1/N) expansions in random matrix mode ls to the problem of constructing semiclassical expansions for observa bles in quasi-exactly solvable problems. Lie algebraic aspects of this relationship are also discussed.