I'm trying to check if Ehrenfest theorem is satisfied for this wave function,(adsbygoogle = window.adsbygoogle || []).push({});

|Y>=(1/sqrt(2))*(|1>+|3>),

where |1> and |3> are the ground and 1st exited state wave functions of a half harmonic oscillator. When I'm calculating the expectation values of x and p using annihilation creation operators and trying to check the Ehrenfest theorem I'm getting

m*(time derivative of <x>)=2*<p>

which violates the Ehrenfest theorem. So, my question is whether annihilation creation operators are valid in case of a half harmonic oscillator.

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# A Annihilation creation operators in case of half H.oscillator

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