3
Simple Potentials
Let us recall the Schrödinger equation and the associated boundary conditions which were discussed in Chapter 2. The Schrödinger equation in one dimension is
When the potential is independent of time, the solution ψ(x, t) can be written as
where u(x) is the solution of time-independent Schrödinger equation
There are two kinds of solutions: the bound state solution and the scattering state solution. These solutions have ...
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