What is the ground-state energy of 24 identical noninteracting fermions in a one-dimensional box of length L? (Because the quantum number associated with spin can have two values, each spatial state can be occupied by two fermions.) (Use h for Planck's constant, m for the mass, and L as necessary.)
The Attempt at a Solution
Since the question states that each spatial state can be occupied by two fermions, I thought it would be 48h^2/8mL^2, simplifying to 6h^2/mL^2. However, this is incorrect. Any help would be much appreciated. The fact that two can occupy the same state is throwing me off.