Poisson fields and distribution functions in the statistical mechanics of charged particles
Copyright policy )Poisson fields and distribution functions in the statistical mechanics of charged particles
A new representation of the distribution functions and diagonal elements of the reduced density matrix of the classical systems of charged particles is obtained. This representation is based on the results of Poisson infinite-dimensional analysis. It is a generalization of the representation proposed by \textit{A. L. Rebenko} [Commun. Math. Phys. 151, No. 2, 427-435 (1993; Zbl 0765.60106)]. The quantum systems of charged particles which satisfy various statistics are investigated.
- National Academy of Sciences of Ukraine Ukraine
- Institute of Mathematics Poland
- Polish Academy of Sciences Poland
Stochastic methods applied to problems in equilibrium statistical mechanics, reduced density matrix, Interacting random processes; statistical mechanics type models; percolation theory, Quantum equilibrium statistical mechanics (general), Poisson fields, Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics, cluster expansion
Stochastic methods applied to problems in equilibrium statistical mechanics, reduced density matrix, Interacting random processes; statistical mechanics type models; percolation theory, Quantum equilibrium statistical mechanics (general), Poisson fields, Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics, cluster expansion
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