Quantum Mechanics - Harmonic Oscillator

The energy levels for the one-dimensional harmonic oscillator are (n + ½), n = 0,1,2,⋯ How will the energy levels for the potential shown in the graph above differ from those for the harmonic oscillator?

A. The term ¹⁄₂ will be changed to ³⁄₂
B. The energy of each level will be doubled.
C. The energy of each level will be halved.
D. Only those for even values of n will be present.
E. Only those for odd values of n will be present.
(GR9277 #89)
Solution:

See GR9677 #98

Answer: E

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