8 2 Use Eqn 8 22 To Find The Functional Form Of The Wave Functions Of The First Two Excited States Of The Quantum Harm 1 (16.91 KiB) Viewed 108 times
(8.2) Use eqn 8.22 to find the functional form of the wave functions of the first two excited states of the quantum harmonic oscillator.
The wave functions of the excited states can be found by repeated application of the raising operator at: Un (x) = Cncât)"Vo(x), (8.22) where Cn is a normalization constant. This implies that the energy En of the nth level is: En = Ep + nhw = (-+). n ħw (8.23)
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