Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2

被引:3
|
作者
Fernandez, Francisco M. [1 ]
Garcia, Javier [1 ]
机构
[1] Natl Univ La Plata, CCT La Plata, CONICET, INIFTA,Div Quim Teor, RA-1900 La Plata, Buenos Aires, Argentina
来源
CENTRAL EUROPEAN JOURNAL OF PHYSICS | 2014年 / 12卷 / 07期
关键词
Anharmonic oscillator; discrete spectrum; point-group symmetry; Rayleigh-Ritz method; connected-moments expansion;
D O I
10.2478/s11534-014-0474-7
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We obtain sufficiently accurate eigenvalues and eigenfunctions for the anharmonic oscillator with potential V(x, y) = x (2) y (2) by means of three different methods. Our results strongly suggest that the spectrum of this oscillator is discrete in agreement with early rigorous mathematical proofs and against a recent statement that cast doubts about it.
引用
收藏
页码:499 / 502
页数:4
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