Section 7: Free electron model - University of Nebraska ...
Since the ψn (x) is a continuous function and is equal to zero beyond the length L, the boundary conditions for the wave function are ψn (0) =ψn (L) =0. The solution of Eq.(7.1) is therefore n ( ) sin n x A x L π ψ = , (7.2) where A is a constant and n is an integer. Substituting (7.2) into (7.1) we obtain for the eigenvalues 2 2 n 2 n E m ...
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