  The fermionic and bosonic electron-hole low lying excitations in a
semiconductor are analyzed at finite temperature in a unified way following
Nambu's quasi-supersymmetric approach for the BCS model of superconductivity.
The effective lagrangian for the fermionic modes and for the bosonic low lying
collective excitations in the semiconductor is no longer supersymmetric in a
conventional finite temperature treatment. However the bosonic excitations
don't couple directly to the heat bath and as a result, quasisupersymmetry is
restored to the effective lagrangian when a redefinition of the coupling
constant associated with the collective excitations is performed. Our result
shows that although the mass and coupling parameters are now temperature
dependent, the fermion and boson excited states pair together and can still be
transmuted into one another.
