Quantum Mechanics?

Question

Under which conditions should indistinguishability of particles in a quantum gas be taken into account?

And why this affects the energy distribution of the gas

ps: this is on an old exam paper. I said that the DeBroglie wave length should be approximately equal to the spacing between the atoms, but the energy distribution bit. I'm stumped

Answer 1

When the number of particles in a system is on the order of the number of energy levels available to be occupied in the system with average energy of the particles. It means that there is a minimum average energy obtainable which is greater than zero.