Quantum maximum entropy principle and the moments of the generalized wigner function
Massimo Trovato, Lino Reggiani · Journal of Physics Conference Series · 2009
By introducing a quantum entropy functional of the reduced density matrix, we construct a rigorous scheme to develop quantum hydrodynamic models. The principle of quantum maximum entropy permits to solve the closure problem for a quantum hydrodynamic set of balance equations corresponding to an arbitrary number of moments in the framework of extended thermodynamics. Quantum contributions are expressed in powers of ℏ 2 .