Trovato, M. and Reggiani, L. (2010) Statistics and quantum maximum entropy principle. Il nuovo cimento C, 33 (1). pp. 247-255. ISSN 1826-9885
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Abstract
By using the reduced Wigner formalism we consider a kinetic theory for a quantum gas. We introduce a set of generalized kinetic fields and obtain a hierarchy of Quantum Hydrodynamic (QHD) equations for the corresponding macroscopic variables. To close the QHD system a maximum entropy principle is asserted, and to explicitly incorporate particles indistinguishability a proper quantum entropy is analyzed in terms of the reduced density matrix. This approach implies a quantum generalization of the corresponding Lagrange multipliers. Quantum contributions are expressed in powers of ¯h2.
| Item Type: | Article |
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| Uncontrolled Keywords: | Kinetic theory of gases ; Quantum statistical mechanics |
| Subjects: | 500 Scienze naturali e Matematica > 510 Matematica |
| Depositing User: | Marina Spanti |
| Date Deposited: | 31 Mar 2020 15:44 |
| Last Modified: | 31 Mar 2020 15:44 |
| URI: | http://eprints.bice.rm.cnr.it/id/eprint/16821 |
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