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

被引：15

作者：

Pan, F ^{[1
]}

Klauder, JR

Draayer, JP

机构：

[1] Louisiana State Univ, Dept Phys & Astron, Baton Rouge, LA 70803 USA

[2] Univ Florida, Dept Phys, Gainesville, FL 32611 USA

[3] Univ Florida, Dept Math, Gainesville, FL 32611 USA

来源：

PHYSICS LETTERS A | 1999年 / 262卷 / 2-3期

基金：

美国国家科学基金会;

关键词：

decatic anharmonic oscillator; erect solutions; energy spectrum; large N limit;

D O I：

10.1016/S0375-9601(99)00651-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 anharmonic polynomial potentials of degree 2n is also considered. (C) 1999 Published by Elsevier Science B.V. All rights reserved.

引用

页码：131 / 136

页数：6