  We study the thermodynamic properties of solid and metal electrons in the
nonextensive quantum statistics with a nonextensive parameter transformation.
First we study the nonextensive grand canonical distribution function and the
nonextensive quantum statistics with a parameter transformation. Then we derive
the generalized Boson distribution and Fermi distribution in the nonextensive
quantum statistics. Further we study the thermodynamic properties of solid and
metal electrons in the nonextensive quantum system, including the generalized
Debye models, the generalized internal energies, the generalized capacities and
chemical potential. We derive new expressions of these thermodynamic
quantities, and we show that they all depend significantly on the nonextensive
parameter and in the limit they recover to the forms in the classical quantum
statistics. These new expressions may be applied to study the new
characteristics in some nonextensive quantum systems where the long-range
interactions and/or long-range correlations play a role.
