Degeneracy of confined D-dimensional harmonic oscillator

被引：39
|
作者：
Montgomery, H. E., Jr.
Aquino, N. A.
Sen, K. D. [1 ]
机构：
[1] Univ Hyderabad, Sch Chem, Hyderabad 500046, Andhra Pradesh, India
[2] Ctr Coll Danville, Phys Program, Danville, KY 40422 USA
[3] Univ Autonoma Metropolitana Iztapalapa, Dept Fis, Mexico City 09340, DF, Mexico
来源：
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY | 2007年 / 107卷 / 04期
关键词：
3D harmonic oscillator; spherically confined systems; confluent hypergeometric function properties;
D O I：
10.1002/qua.21211
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
Using the mathematical properties of the confluent hypergeometric functions, the conditions for the incidental, simultaneous, and interdimensional degeneracy of the confined D-dimensional (D > 1) harmonic oscillator energy levels are derived, assuming that the isotropic confinement is defined by an infinite potential well and a finite radius R-c. Very accurate energy eigenvalues are obtained numerically by finding the roots of the confluent hypergeometric functions that confirm the degeneracy conditions. (c) 2006 Wiley Periodicals, Inc.
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页码：798 / 806
页数：9
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