A Derivation of Generalized Semi-Classical Langevin Equations Based on the Feynman Path-Integral Approach. II. The Langevin Equations in the Canonical Form

摘要: In a previous paper new derivation of the Langevin equations for system coupled with heat reservoir was given based on Feynman path-integral representation transition probability, i.e. diagonal part reduced density matrix system. The derived are form Lagrangian motion. this article temporal change as whole, or more precisely Wigner phase-space distribution, is treated, and equivalent to those mentioned above but in canonical equation motion second order perturbational approximation respect interactions between reservoir.