|Dec5-12, 06:34 AM||#1|
Question about expectation value.
It seems that the energy expectation value is independent of time.
I did it for an infinite square well. And when you time evolve your wave function
the time evolution cancels when you complex conjugate it and then do the integral.
<E>=<ψ|E|ψ> it seem like this might always independent of time, What do you guys think.
I guess I could try to prove it in general.
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|Dec5-12, 08:04 AM||#2|
|Dec5-12, 08:05 AM||#3|
If you have a time-independent Hamiltonian, energy is always conserved in your system. This is a very fundamental result and it works both in classical and quantum mechanics.
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