Chapter 7, Problem 7D.13BE

Interpretation Introduction

Interpretation:

The state which is degenerate with the state $n_1=2$, $n_2=8$ for a particle in a rectangular box with sides of length $L_1=L$ and $L_2=2L$ has to be found. Whether any degenerate states are present with rectangular box with sides of length $L_1=L$ and $L_2=\sqrt{2}L$ has to be predicted.

Concept introduction:

Two different wavefunctions of a same level corresponding to the same energy is termed as degenerate wavefunctions.  If two different wavefunctions have the same energy, they are termed as doubly degenerate.  If three wavefunctions have the same energy they are termed as triply degenerate.