Many-body applications of the stochastic limit: a review
F. Bagarello
TL;DR
This review discusses the stochastic limit approach and its applications to complex many-body systems such as quantum Hall effect, matter-radiation interactions, and superconductivity models.
Contribution
It provides a comprehensive overview of how the stochastic limit technique can be applied to various many-body problems in quantum physics.
Findings
Demonstrates the effectiveness of the stochastic limit in analyzing quantum Hall systems
Explores the connection between Hepp-Lieb and Alli-Sewell models
Analyzes the open BCS model of superconductivity
Abstract
We review some applications of the perturbative technique known as the {\em stochastic limit approach} to the analysis of the following many-body problems: the fractional quantum Hall effect, the relations between the Hepp-Lieb and the Alli-Sewell models (as possible models of interaction between matter and radiation), and the open BCS model of low temperature superconductivity.
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