Consider a semi-infinite square well: U(x)=0 for 0 ≤ x ≤ L, U(x)=U0 for x >...

Consider a semi-infinite square well: U(x)=0 for 0 ≤ x ≤ L, U(x)=U₀ for x > L, and U(x) is infinity otherwise. Determine the wavefunction for E < Uo , as far as possible, and
obtain the transcendental equation for the allowable energies E. Find the necessary condition(s) on E for the solution to exist.

Expert Solution

Steps: -> Divide the problem in three regions -> write schrodinger equation for all the regions -> Solve them -> Use the boundary conditions to obtain the condition on energy and the wavefunction.

genius_generous answered 2 years ago

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