# Wavefunction normalization, probability

A particle is described by the wavefunction

¦×(x) = A Cos (2¦Ðx/L) for -L/4 ¡Ü x ¡Ü L/4

0 otherwise

(a) Determine the normalization constant A.

(b) What is the probability that the particle will be found between x = 0 and x = L/8 if a measurement of its position is made?

#### Solution Preview

... (1.1)

In our case this becomes:

(1.2)

Now,

Thus, equation (1.2) becomes:

...