Towards a Statistical Theory of Finite Systems and Compound States: Random Two-Body Interaction Approach

TL;DR

This paper explores a statistical framework for finite quantum systems with random two-body interactions, analyzing how chaos influences thermalization, distribution laws, and response to external perturbations.

Contribution

It introduces a novel approach to understanding statistical laws and chaos in finite quantum systems through a random two-body interaction model.

Findings

Demonstrates the role of chaos in thermalization processes.

Analyzes the Fermi-Dirac distribution in quasi-particles with spreading widths.

Examines matrix elements of external fields and perturbation enhancement in chaotic states.

Abstract

The model of Fermi particles with random two-body interaction is investigated. This model allows to study the origin and accuracy of statistical laws in few-body systems, the role of interaction and chaos in thermalization, Fermi-Dirac distribution for quasi-particles with spreading widths, matrix elements of external field and enhancement of weak perturbation in chaotic compound states.