Quasi-exactly solvable cases of an N-dimensional symmetric decatic anharmonic oscillator

Authors
Pan, F Klauder, JR Draayer, JP
Citation
F. Pan et al., Quasi-exactly solvable cases of an N-dimensional symmetric decatic anharmonic oscillator, PHYS LETT A, 262(2-3), 1999, pp. 131-136
Citations number
15
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
262
Issue
2-3
Year of publication
1999
Pages
131 - 136
Database
ISI
SICI code
0375-9601(19991101)262:2-3<131:QSCOAN>2.0.ZU;2-H
Abstract
The spectral problem of an O(N) invariant decatic anharmonic oscillator in N dimensions is considered for quasi-exactly solvable cases. The sextic anh armonic oscillator is a special case. The eigenvalue problem is found to be equivalent to that of an energy-dependent non-linear sl, rotor. The N depe ndence, in the large N limit, of the ground state energies for anharmonic p olynomial potentials of degree 2n is also considered. (C) 1999 Published by Elsevier Science B.V. All rights reserved.