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## 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

[tex]E = \epsilon_{1} + \epsilon_{2} +...[/tex]

## 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.