Derivation and classical limit of the mean-field equation for a quantum Coulomb system: Maxwell-Boltzmann statistics |
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| Authors: | N. Angelescu M. Pulvirenti A. Teta |
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| Affiliation: | (1) Department of Theoretical Physics, Institute for Atomic Physics, Bucharest, Romania;(2) Dipartimento di Matematica, Università di Roma !["ldquo"]("/content/b72546m342735885/xlarge8220.gif") La Sapienza!["rdquo"]("/content/b72546m342735885/xlarge8221.gif") , Rome, Italy |
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| Abstract: | The mean-field density matrix of a changed plasma of quantum particles with Maxwell-Boltzmann statistics in a confining external potential is obtained as a limit of theN-body canonical states for suitably scaled charges. Also, it is shown that the density profile of the quantum mean-field theory converges to the solution of the classical mean-field equation when the Planck's constant tends to zero. |
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| Keywords: | Quantum Coulomb system Maxwell-Boltzmann statistics Feynman-Kac formula mean-field approximation classical limit |
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