Path integrals and stationary phase approximation for quantum dynamical semigroups. Quadratic systems
Robert Alicki · Journal of Mathematical Physics · 1982
The solution of the Markovian master equation for the quantum open system of n degrees of freedom is formally written in terms of a path integral and the stationary phase approximation is discussed. The exactly soluble models with generators quadratic in position and momentum operators are investigated and the explicit expressions for the space–time propagators for one-dimensional systems are derived.