2001/02/27 by L. I. Plimak, Plimak, L. I., Michael Fleischhauer +6
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Statistical Distribution Estimation and Applications #Statistical Mechanics and Entropy #Stochastic processes and financial applications #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0102483
arxiv created 2001/02/27 · arxiv updated 2009/11/30
We describe quantum-field-theoretical (QFT) techniques for mapping quantum problems onto c-number stochastic problems. This approach yields results which are identical to phase-space techniques [C.W. Gardiner, \em Quantum Noise (1991)] when the latter result in a Fokker-Planck equation for a corresponding pseudo-probability distribution. If phase-space techniques do not result in a Fokker-Planck equation and hence fail to produce a stochastic representation, the QFT techniques nevertheless yield stochastic difference equations in discretised time.