Complex conjugate of the expectation value of momentum

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SUMMARY

The discussion focuses on computing the complex conjugate of the expectation value of momentum, denoted as

, using equation 1.35:

=∫ψ*(h/i)∂/∂x ψ dx. The correct approach to find the complex conjugate involves changing the sign of the imaginary unit and switching the wavefunction's conjugate, resulting in

=∫ψ(-h/i)∂/∂x ψ* dx. The participants confirm that the expectation value

is real, as it equals its own complex conjugate,

=

*.

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Homework Statement


Compute the complex conjugate of <p> using eq 1.35 (<p>=∫ψ*(h/i)∂/∂x ψ dx) and prove that <p> is real (<p>=<p>*)


Homework Equations


equation 1.35 is given above


The Attempt at a Solution


to take the c.c. don't i just add a minus to the i and switch the stars like so:
<p>=∫ψ(-h/i)∂/∂x ψ* dx
i think that is right, but it seems too simple for what i should be doing. as for the second part, could somebody please nudge me in the right direction.

thanks for all your help.
 
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Well, now comes the tricky part, shifting the derivative under the integral back to the psi. This is done only under the assumption that the wavefunction is normalized to unity.

Can you do it now ?
 

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