Classical analogue of the statistical operator

• Authors: Angelo Plastino , Angel Plastino , Claudia Zander
• Languages of publication: EN

Abstracts

EN

We advance the notion of a classical density matrix, as a classical analogue of the quantum mechanical statistical operator, and investigate its main properties. In the case of composite systems a partial trace-like operation performed upon the global classical density matrix leads to a marginal density matrix describing a subsystem. In the case of dynamically independent subsystems (that is, non-interacting subsystems) this marginal density matrix evolves locally, its behavior being completely determined by the local phase-space flow associated with the subsystem under consideration. However, and in contrast with the case of ordinary marginal probability densities, the marginal classical density matrix contains information concerning the statistical correlations between a subsystem and the rest of the system.

Keywords

EN

statistical operator; Liouville dynamics; physics of information

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2014
• Volume: 12
• Issue: 3
• Pages: 168-174

Dates

published

1 - 3 - 2014

online

13 - 3 - 2014

Contributors

author

Angelo Plastino

• Universidad Nacional de La Plata UNLP-CONICET, C.C. 727, 1900, La Plata, Argentina

author

Angel Plastino

author

Claudia Zander

• Physics Department, University of Pretoria, Pretoria, 0002, South Africa

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Identifiers

DOI

10.2478/s11534-014-0438-y