Direct Quantization of Open Dissipative Systems
Condensed Matter
2007-05-23 v1
Abstract
Open, dissipative systems subject to a random force are directly quantized. The starting point is the effective action derived using the method of Parisi-Sourlas. Since the effective action is second-order, the method of Ostrogradsky was used to quantize the system canonically. In the case of the harmonic oscillator, the relevant Green function can be computed exactly. In the general case, a perturbation expansion, involving time-dependent (memory) terms, can be defined.
Cite
@article{arxiv.cond-mat/0101084,
title = {Direct Quantization of Open Dissipative Systems},
author = {Jose A. Magpantay},
journal= {arXiv preprint arXiv:cond-mat/0101084},
year = {2007}
}
Comments
Latex, 10 pages