Answer to Question #163766 in Quantum Mechanics for Satyam

Question

Write the degeneracy of isotropic 3 dimensional harmonic oscillator.

Answer 1

For the three-dimensional isotropic harmonic oscillator the energy eigenvalues are E = (n + 3/2)ħω, with n = n₁ + n₂ + n₃, where n₁, n₂, n₃ are the numbers of quanta associated with oscillations along the Cartesian axes.