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

where

Thus,

.

In the ground state (), it becomes

.

Therefore, the answer is (D).

Detailed Solution will be posted in a week.

Reference)

https://en.wikipedia.org/wiki/Particle_in_a_box

3.3 The Eigenvalue Problem for a Particle in a Box, Quantum Physics (third edition), Stephen Gasiorowicz

# GRE GR 1777, Problem 013 Solution

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