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## Homework Statement

By shining and intense laser beam on to a semiconductor, one can create a collection of electrons (charge -e, and effective mass m

_{e}) and holes (charge +e, and effective mass m

_{h}) in the bulk. The oppositely charged particle may pair up (as in a hydrogen atom) to form a gas of excitons, or they may dissociate into an electron hole plasma.

a) Write down the single particle partition functions Z

_{e}(1) and Z

_{h}(1) at temperature T in a volume V for electrons and holes respectively. (The thermal wavelength [tex]\lambda[/tex] for a particle is [tex]\lambda[/tex] = [tex]\frac{h}{\sqrt{2 \pi mkT}}[/tex]

## Homework Equations

## The Attempt at a Solution

I know that the partition function is exp[-E/kT] summed over all energies or integrated with a density of states over all energies. But how do I go about it in this case?