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Exact solutions of the spherically symmetric multidimensional isotropic harmonic oscillator

Kayode John Oyewumi
Amos Wale Ogunsula


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

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eISSN: 2992-4464
print ISSN: 1118-0579