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Wave Properties of particles. Schrodinger Equation.

Problem 6.79

Demonstrate that the wave functions of the stationary states of a particle confined in a unidimensional potential well with infinitely high walls are orthogonal, i.e. they satisfy the condition 0lψnψndx=0\int_{0}^{l} \psi_{n} \psi_{n}^{\prime} d x=0 if nn.n^{\prime} \neq n . Here ll is the width of the well, nn are integers.

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