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Wave Properties of particles. Schrodinger Equation.

Problem 6.78

A particle is located in a unidimensional square potential well with infinitely high walls. The width of the well is \(l .\) Find the normalized wave functions of the stationary states of the particle, taking the midpoint of the well for the origin of the \(x\) coordinate.

Reveal Answer
 6.78. ψ={Acos⁡(πnx/l), if n=1,3,5,…,Asin⁡(πnx/l), if n=2,4,6,…\text { 6.78. } \psi=\left\{\begin{array}{l} A \cos (\pi n x / l), \text { if } n=1,3,5, \ldots, \\ A \sin (\pi n x / l), \text { if } n=2,4,6, \ldots \end{array}\right.
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