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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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