The evolution to quantum statistical equilibrium for a simple model. The strong coupling limit

A. Janner; L. Van Hove; E. Verboven

doi:10.1016/0031-8914(62)90144-1

The evolution to quantum statistical equilibrium for a simple model. The strong coupling limit

A. Janner, L. Van Hove, E. Verboven

Research output › peer-review

Abstract

The evolution in time of a dissipative quantum many-body system is considered for an electron interacting with randomly distributed, static, elastic scattering centers. The simplified model proposed for this case by Van Hove and Verboven is extended to include the interference term and is shown to be consistent with the requirements of the theory to general order in the perturbation. The time variation of the transition probability and of the interference term is studied for all times in the strong coupling limit. In this limit, the approach to statistical equilibrium is characterized by slowly damped oscillations. The calculation has been performed analytically up to a last numerical integration carried out by computer.

Original language	English
Pages (from-to)	1341-1360
Number of pages	20
Journal	Physica
Volume	28
Issue number	12
DOIs	https://doi.org/10.1016/0031-8914(62)90144-1
State	Published - Dec 1962
Externally published	Yes

ASJC Scopus subject areas

General Engineering

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10.1016/0031-8914(62)90144-1

Cite this

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title = "The evolution to quantum statistical equilibrium for a simple model. The strong coupling limit",

abstract = "The evolution in time of a dissipative quantum many-body system is considered for an electron interacting with randomly distributed, static, elastic scattering centers. The simplified model proposed for this case by Van Hove and Verboven is extended to include the interference term and is shown to be consistent with the requirements of the theory to general order in the perturbation. The time variation of the transition probability and of the interference term is studied for all times in the strong coupling limit. In this limit, the approach to statistical equilibrium is characterized by slowly damped oscillations. The calculation has been performed analytically up to a last numerical integration carried out by computer.",

author = "A. Janner and {Van Hove}, L. and E. Verboven",

year = "1962",

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AU - Verboven, E.

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N2 - The evolution in time of a dissipative quantum many-body system is considered for an electron interacting with randomly distributed, static, elastic scattering centers. The simplified model proposed for this case by Van Hove and Verboven is extended to include the interference term and is shown to be consistent with the requirements of the theory to general order in the perturbation. The time variation of the transition probability and of the interference term is studied for all times in the strong coupling limit. In this limit, the approach to statistical equilibrium is characterized by slowly damped oscillations. The calculation has been performed analytically up to a last numerical integration carried out by computer.

AB - The evolution in time of a dissipative quantum many-body system is considered for an electron interacting with randomly distributed, static, elastic scattering centers. The simplified model proposed for this case by Van Hove and Verboven is extended to include the interference term and is shown to be consistent with the requirements of the theory to general order in the perturbation. The time variation of the transition probability and of the interference term is studied for all times in the strong coupling limit. In this limit, the approach to statistical equilibrium is characterized by slowly damped oscillations. The calculation has been performed analytically up to a last numerical integration carried out by computer.

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