Exact solutions of the spherically symmetric multidimensional isotropic harmonic oscillator

  • 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
Keywords: Schrödinger Equation, Isotropic harmonic oscillator, Hyperspherical harmonics, Multidimensional space

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
Published
2004-06-02
Section
Articles

Journal Identifiers


eISSN: 1118-0579