Generalized quantum kinetic equation for interacting particles with quantum statistics (Q2850485)
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scientific article; zbMATH DE number 6212615
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized quantum kinetic equation for interacting particles with quantum statistics |
scientific article; zbMATH DE number 6212615 |
Statements
26 September 2013
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many-particle systems
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quantum BBGKY hierarchy
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Cauchy problem
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strong solution
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weak solution
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Generalized quantum kinetic equation for interacting particles with quantum statistics (English)
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The authors deal with evolution of states of quantum many-particle systems for the case where the interacting particles obeying Bose-Einstein or Fermi-Dirac statistics. They construct a solution of the Cauchy problem of the quantum BBGKY hierarchy for bosons and fermions. Their main result establishes a link between the quantum BBGKY hierarchy and the generalized quantum kinetic equation for bosons and fermions. A solution of the Cauchy problem of the obtained generalized quantum kinetic equation is constructed and the existence of a strong and a weak solution is proved in the space of trace class operators.
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