Degeneracy of confined D‐dimensional harmonic oscillator |
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| Authors: | H E Montgomery Jr N A Aquino K D Sen |
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| Institution: | 1. Physics Program, Centre College, 600 West Walnut Street, Danville, KY 40422‐1394, USA;2. Departamento de Fisica, Universidad Autonoma Metropolitana‐Iztapalapa, Apartado Postal 55‐534, 09340 DF, Mexico;3. School of Chemistry, University of Hyderabad, Hyderabad 500 046, IndiaSchool of Chemistry, University of Hyderabad, Hyderabad 500 046, India |
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| 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. © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2007 |
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| Keywords: | 3D harmonic oscillator spherically confined systems confluent hypergeometric function properties |
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