Exact solutions of the spherically symmetric multidimensional isotropic harmonic oscillator
AbstractThe 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