(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Assume that [tex] \psi_{1}(x,t) [/tex] and [tex] \psi_{2}(x,t) [/tex] are solutions of the one-dimensional time-dependent Schrodinger's wave equations.

(a) Show that [tex] \psi_{1} + \psi_{2} [/tex] is a solution.

(b) Is [tex] \psi_{1} \cdot \psi_{2} [/tex] a solution of the Schrodinger's equation in general?

2. Relevant equations

Is this the "One-Dimensional Time-Dependent Schodinger's Wave Equation":

[tex] \eta = \imath \hbar \cdot \frac{1}{\phi(t)} \cdot \frac{\partial \phi(t)}{ \partial t}[/tex]

If so, it says in my book that the solution is [tex] \phi(t) = e^{- \imath (\frac{E}{\hbar})t [/tex]

3. The attempt at a solution

I have a feeling that all I have to do is show that these solutions are linear, then use the superposition technique.

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# Homework Help: Solutions to Schrodinger's Wave Equation

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