Path Integrals and Their Application to Dissipative Quantum Systems
Quantum Physics
2009-10-25 v1
Abstract
Introduction Path Integrals - Introduction - Propagator - Free Particle - Path Integral Representation of Quantum Mechanics - Particle on a Ring - Particle in a Box - Driven Harmonic Oscillator - Semiclassical Approximation - Imaginary Time Path Integral Dissipative Systems - Introduction - Environment as Collection of Harmonic Oscillators - Effective Action Damped Harmonic Oscillator - Partition Function - Ground State Energy and Density of States - Position Autocorrelation Function
Cite
@article{arxiv.quant-ph/0208026,
title = {Path Integrals and Their Application to Dissipative Quantum Systems},
author = {Gert-Ludwig Ingold},
journal= {arXiv preprint arXiv:quant-ph/0208026},
year = {2009}
}
Comments
55 pages, 13 figures. To be published in "Coherent Evolution in Noisy Environments", Lecture Notes in Physics (http://link.springer.de/series/lnpp/) (Springer Verlag, Berlin-Heidelberg-New York)