All Problems

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.l . Find the normalized wave functions of the stationary states of the particle, taking the midpoint of the well for the origin of the xx 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.