Quantum Mechanics Solution Manual 

© Leon van Dommelen 

2.3.7 Solution dotg
Question:
Show that the functions and are an orthonormal set on the interval 0 1.
Answer:
You need to show that both functions are normalized, 1 and 1, and that they are mutually orthogonal, 0. Work each out in turn (don't forget to take complex conjugate of the first function in the inner products):
(Since the Euler formula shows that 1.)