Question

Which of the following systems is degenerate?

Question 4 options:

a)	Two-dimensional harmonic oscillator

b)	One-dimensional Infinite square well

c)	One-dimensional finite square well

d)	One-dimensional harmonic oscillator

e)	All time-dependent systems

Answer 1

a) Two-dimensional harmonic oscillator has degeneracy

b)One-dimensional Infinite square well does not have degeneracy

c)One-dimensional finite square well does not have any degeneracy

d)One-dimensional harmonic oscillator does not any degeneracy

e)All time-dependent systems does not have any degeneracy

Reason for b), c),d),e) does not have degeneracy because one dimensional theorem suggest It can be proved that in one dimension, there are no degenerate bound states for normalizable wave functions.