2001/01/08 by Jose A. Magpantay, Magpantay, Jose A.
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/0101084
Latex, 10 pages
arxiv created 2001/01/08 · arxiv updated 2009/11/30
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.