If ( u_{m} ) and ( u_{n} ) are the wavefunctions corresponding to two energy states of a particle confined to a one-dimensional box with infinite sides, show that
[
int_{-infty}^{infty} u_{n} u_{m} d x=0 quad ext { if } n
eq m
]
This is an example of 'orthogonality' which will be discussed in chapter ( 4 . )
