Degeneracy of confined  D ‐dimensional harmonic oscillator | Zendy

Montgomery H. E. | Zendy; Aquino N. A. | Zendy; Sen K. D. | Zendy

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Degeneracy of confined D ‐dimensional harmonic oscillator

Author(s) -

Montgomery H. E.,

Aquino N. A.,

Sen K. D.

Publication year - 2006

Publication title -

international journal of quantum chemistry

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.484

H-Index - 105

eISSN - 1097-461X

pISSN - 0020-7608

DOI - 10.1002/qua.21211

Subject(s) - degeneracy (biology) , eigenvalues and eigenvectors , harmonic oscillator , hypergeometric function , isotropy , quantum mechanics , physics , harmonic , hamiltonian (control theory) , radius , hypergeometric distribution , mathematical physics , quantum , mathematics , mathematical analysis , pure mathematics , bioinformatics , mathematical optimization , computer security , computer science , biology

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. © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2007

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