# GRE Physics GR 1777 Problem Solution

## 013. Quantum Mechanics (Infinity potential wall)

### Solution

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

.

### Answer

(D)