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## Homework Statement

Write down the general solution of the time-dependant schrodinger equation in terms of the solutions of the time-independant Schrodinger equation.

## Homework Equations

TDSE

TISE

## The Attempt at a Solution

I'm really not sure how to interpret this question, I could write the general solution to the time dependant schrodinger equation:

[tex]\Psi (r,t) = \sum_{n} a_{n}(t) \Psi _{n} exp (-\frac{iE_{n}t}{\hbar})[/tex]

insert this into the time dependant schrodinger equation and show that it is satisfied, i.e. equal at both sides

OR

Does it want me to write ψ(r,t) = R(r)T(t) insert this into the time dependant schrodinger equation and use separation of variables to show that there are two solutions, one with time and one with position dependance.

Thanks for any help interpreting what the question is asking me to do.

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