INCOMPLETENESS OF REPRESENTATION-THEORY - HIDDEN SYMMETRIES AND QUANTUM NONINTEGRABILITY

Authors
KUSNEZOV D
Citation
D. Kusnezov, INCOMPLETENESS OF REPRESENTATION-THEORY - HIDDEN SYMMETRIES AND QUANTUM NONINTEGRABILITY, Physical review letters, 79(4), 1997, pp. 537-540
Citations number
22
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
79
Issue
4
Year of publication
1997
Pages
537 - 540
Database
ISI
SICI code
0031-9007(1997)79:4<537:IOR-HS>2.0.ZU;2-U
Abstract
Representation theory is shown to be incomplete in terms of enumeratin g all integrable limits of quantum systems. As a consequence, one can find exactly solvable Hamiltonians which have apparently strongly brok en symmetry. The number of these hidden symmetries depends upon the re alization of the Hamiltonian.