Answer to Question #146168 in Quantum Mechanics for alfraid

Question #146168
write down degeneracy for isotropic 1 d harmonic oscillator.
1
Expert's answer
2020-11-27T00:41:02-0500

The degeneracy for an p-dimensional quantum harmonic oscillator is given as


"g(n,p)=\\frac{(n+p-1)!}{n!(p-1)!}"

it corresponds to the number of weak compositions of the integer n into p integers.

The degeneracy for isotropic 1 d harmonic oscillator is


"g(n)=\\frac{(n+1-1)!}{n!(1-1)!}=\\frac{(n)!}{n!(0)!}=1"



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