Jan Naudts
Rigorous results in non-extensive thermodynamics
(52K, latex)
ABSTRACT. This paper studies quantum systems with a finite number of degrees of
freedom in the context of non-extensive thermodynamics. A trial density
matrix, obtained by heuristic methods, is proved to be the equilibrium
density matrix. If the entropic parameter q is larger than 1 then
existence of the trial equilibrium density matrix requires that q is
less than some critical value q_c which depends on the rate by which
the eigenvalues of the hamiltonian diverge. Existence of a unique
equilibrium density matrix is proved if in addition q<2 holds. For q
between 0 and 1, such that 2