## Related questions with answers

Question

Verify that solution we saw earlier satisfies the Schrodinger equation in form we saw earlier.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 3We have Schr"{o}dinger time-dependent equation :

$\begin{equation} \dfrac{d^2\psi(x)}{d x} = \dfrac{2m(U_o(x)-E)}{ \hbar^2 } \psi(x) \end{equation}$

and wave function is given as :

$\begin{equation} \psi(x) = A \exp^{\pm\alpha x} , \alpha=\sqrt{\dfrac{2m(U_o(x)-E)}{\hbar^2}} \end{equation}$

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