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Wave equation

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See question 4 of the attached file.

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Problem 4:

From the wave equation:

nabla^2 psi = 1/v^2 d^2 psi/dt^2 (1)

we can derive the time-independent Schrodinger equation by putting:

psi(x,t) = phi(x)exp(i omega t) (2)

and using the de Broglie's relation:

lambda = h/(mv) ...

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