Send to

Choose Destination
See comment in PubMed Commons below
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Feb;81(2 Pt 1):021119. Epub 2010 Feb 12.

Quantum maximum entropy principle for a system of identical particles.

Author information

  • 1Dipartimento di Matematica, Universit√† di Catania, Viale A. Doria, 95125 Catania, Italy.


By introducing a functional of the reduced density matrix, we generalize the definition of a quantum entropy which incorporates the indistinguishability principle of a system of identical particles. With the present definition, the principle of quantum maximum entropy permits us 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. The determination of the reduced Wigner function for equilibrium and nonequilibrium conditions is found to become possible only by assuming that the Lagrange multipliers can be expanded in powers of variant Planck's over 2pi(2). Quantum contributions are expressed in powers of variant Planck's over 2pi(2) while classical results are recovered in the limit variant Planck's over 2pi-->0 .

PubMed Commons home

PubMed Commons

How to join PubMed Commons

    Supplemental Content

    Loading ...
    Support Center