## 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.

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 |
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Publisher | SCK CEN |

Number of pages | 23 |

State | Published - Jun 1962 |

Externally published | Yes |

### Publication series

Name | SCK CEN Reports |
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Publisher | SCK CEN |

No. | BLG-175 |