Action Functional for a Particle with Damping
Statistical Mechanics
2019-09-12 v2
Abstract
In this brief report we discuss the action functional of a particle with damping, showing that it can be obtained from the dissipative equation of motion through a modification which makes the new dissipative equation invariant for time reversal symmetry. This action functional is exactly the effective action of Caldeira-Leggett model but, in our approach, it is derived without the assumption that the particle is weakly coupled to a bath of infinite harmonic oscillators.
Cite
@article{arxiv.1909.03694,
title = {Action Functional for a Particle with Damping},
author = {Federico de Bettin and Alberto Cappellaro and Luca Salasnich},
journal= {arXiv preprint arXiv:1909.03694},
year = {2019}
}
Comments
Review article, accepted for publication in the special issue "Many Body Quantum Chaos" of Condensed Matter