Physics GRE GR 1777
13. Quantum Mechanics (Infinity potential wall)
Infinity potential wall problem is one of the basic problems in quantum mechanics. So I recommend you to remember some equation about it.
The energy eigenvalues of a particle of mass inside a one-dimensional box are
And the boundary condition () implies that
In the ground state (), it becomes
Therefore, the answer is (D).
Detailed Solution will be posted in a week.
3.3 The Eigenvalue Problem for a Particle in a Box, Quantum Physics (third edition), Stephen Gasiorowicz