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Conservation of Inner Product Under Time Evolution

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Hermitian operators have the following property. If A is Hermitian then:

Integral over space of [Psi_{1}-star A Psi_{2}] = Integral over space of [(A Psi_{1})-star Psi_{2}] (1)

In the first integral the operator A operates on Psi_{2}, in the second it operates on Ps_{1} before you take the complex conjugate. You can easily see ...

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