Exact solutions of the spherically symmetric multidimensional isotropic harmonic oscillator

Kayode John Oyewumi; Amos Wale Ogunsula

doi:10.4314/gjpas.v10i2.16404

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Published:

Jun 2, 2004

DOI:

10.4314/gjpas.v10i2.16404

Keywords:

Schrödinger Equation Isotropic harmonic oscillator Hyperspherical harmonics Multidimensional space

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Vol. 10 No. 2 (2004)

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Articles

Kayode John Oyewumi

Department of Physics, University of Ilorin, P.M.B 1515, Ilorin, Kwara State, Nigeria

Amos Wale Ogunsula

Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, P.B.M. 4000, Ogbomoso, Oyo State, Nigeria

Abstract

The complete orthonormalised energy eigenfunctions and the energy eigenvalues of the spherically symmetric isotropic harmonic oscillator in N dimensions, are obtained through the methods of separation of variables. Also, the degeneracy of the energy levels are examined.

KEY WORDS: - Schrödinger Equation, Isotropic harmonic oscillator, Hyperspherical harmonics, Multidimensional space.

Global Jnl Pure & Applied Sciences Vol.10(2) 2004: 343-349

Global Journal of Pure and Applied Sciences
Journal / Global Journal of Pure and Applied Sciences / Vol. 10 No. 2 (2004) / Articles

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Exact solutions of the spherically symmetric multidimensional isotropic harmonic oscillator

Kayode John Oyewumi

Amos Wale Ogunsula

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Kayode John Oyewumi

Amos Wale Ogunsula

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