Answer to Question #256635 in Quantum Mechanics for Ankit

Question

A fermion has two particles in the ith state whose degeneracy is three. Find the number of independent ways of selecting the particles in the state

Answer 1

We get a total of 4 states of the system as a whole. Half of the states have the particles

bunched in the same state and half have them in separate states.

Bose–Einstein Statistics: This is a quantum mechanical case. This means that the

particles are indistinguishable. Both particles are labelled A. Recall that bosons have

integer spin: 0, 1, 2, etc. For Bose statistics any number of particles can be in one state.

So let’s again enumerate the states of the system:

We get a total of 3 states of the system as a whole. 2/3 of the states have the particles

bunched in the same state and 1/3 of the states have them in separate states.