Montgomery Jr., H. E. ; Aquino, N. A. ; Sen, K. D. (2007) Degeneracy of confined D-dimensional harmonic oscillator International Journal of Quantum Chemistry, 107 (4). pp. 798-806. ISSN 0020-7608
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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/qua.212...
Related URL: http://dx.doi.org/10.1002/qua.21211
Abstract
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 Rc. Very accurate energy eigenvalues are obtained numerically by finding the roots of the confluent hypergeometric functions that confirm the degeneracy conditions.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to John Wiley and Sons. |
| Keywords: | 3D Harmonic Oscillator; Spherically Confined Systems; Confluent Hypergeometric Function Properties |
| ID Code: | 45041 |
| Deposited On: | 24 Jun 2011 13:53 |
| Last Modified: | 24 Jun 2011 13:53 |
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