4. Show that the wave functions for the ground state and first excited state of the simple harmonic oscillator, given by W0 (x) and 41 (x), are orthogonal, where %(x) = Aoe¬max²/2h 4 (x) = A1Vn -max² /2h xe %3D

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4. Show that the wave functions for the ground state and first excited state of the simple harmonic oscillator,
given by W0 (x) and W1 (x), are orthogonal, where
%(x) = Aoe¬max² /2h
4 (x) = A1V
m@ -mox² /2h
-xe
Transcribed Image Text:4. Show that the wave functions for the ground state and first excited state of the simple harmonic oscillator, given by W0 (x) and W1 (x), are orthogonal, where %(x) = Aoe¬max² /2h 4 (x) = A1V m@ -mox² /2h -xe
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