Franz Schwabl Quantum Mechanics 4th Edit · Problem 2.3

One-Dimensional Problems

Physics — Quantum Mechanics · bohr-sommerfeld-quantization-potential-well

Problem

Using the Bohr–Sommerfeld quantization rules, determine the energy eigenstates of a particle of mass

m

moving in an infinitely high potential well:

V(x) = \begin{cases} 0 & \text{for } 0 \leq x \leq a \\ \infty & \text{otherwise} \end{cases}\,.