See question 4 of the attached file.© BrainMass Inc. brainmass.com March 4, 2021, 8:24 pm ad1c9bdddf
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) ...
A detailed solution is given.