## Related questions with answers

Question

Verify that $A \sin (k x)+B \cos (k x)$ is a solution of equation we saw earlier.

Solution

VerifiedStep 1

1 of 3We have the time-independent Schr"{o}dinger equation as follows:

$\begin{equation} \tag{1} \dfrac{d^2\psi(x)}{dx^2} = -k^2 \psi(x) , k= \sqrt{\dfrac{2mE}{\hbar^2}} \end{equation}$

and wave function is given as :

$\begin{equation} \tag{2} \psi= A \sin(kx)+B \cos(kx) \end{equation}$

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