# Identical particles, spin, fermions, etc.

## Homework Statement

I got two particles, spin-(1/2), in a box of finite length and I must compute the energy and wavefunctions for the three lowest states. The particles are in a singlet spin state.

## Homework Equations

$$E = \epsilon_{1} + \epsilon_{2} +...$$

## The Attempt at a Solution

I got the wavefunctions down.

Just want to clarify some uncertainty here, if the ground state is just going to be for n = 1, 2, then would the first excited state be n = 1, 3, and second excited state n = 2, 3?

I am also assuming they're fermions.