Time independent wave function vs the initial wave function

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I thought there was a difference, but I'm being told now that the time independent wave function is the wave function at t=0
 

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andrewkirk
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Are you sure you mean time independent wave function? The words 'the time independent' in my experience are usually used to preface either 'Schrodinger equation' or Hamiltonian. The time-independent Schrodinger equation is just the Eigenvalue equation for the Hamiltonian operator: ##H|E>=E|E>## and where the Hamiltonian is time-independent, the solutions of this, together with the initial state expressed in terms of those eigenkets, and an easily-identified propagator, are all that is needed to give the wave function at any future point in time.
 

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