✦ LIBER ✦

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

✍ Scribed by Feng Pan; J.R. Klauder; J.P. Draayer

Book ID: 104337815
Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 57 KB
Volume: 262
Category: Article
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(99)00651-9

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✦ Synopsis

The spectral problem of an O N invariant decatic anharmonic oscillator in N dimensions is considered for quasi-exactly solvable cases. The sextic anharmonic 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 dependence, in the large N limit, of the ground state energies for 2 anharmonic polynomial potentials of degree 2 n is also considered.