Path Integrals and Their Application to Dissipative Quantum Systems

Details Path Integrals and Their Application to Dissipative Quantum Systems Path Integrals and Their Application to Dissipative Quantum Systems

2002-08-05

arxiv.org/abs/quant-ph/0208026v1

Lecture Notes in Physics, Vol. 611, pp. 1-53 (Springer, 2002)

Physics

Quantum Physics

55 pages, 13 figures. To be published in "Coherent Evolution in Noisy Environments", Lecture Notes in Physics (http://link.s

Scientific paper

10.1007/3-540-45855-7_1

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

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