Non-Markovian Quantum Brownian Motion: A Non-Hamiltonian Approach

摘要: We generalize the classical theory of Brownian motion so as to reckon with non-Markovian effects on both Klein-Kramers and Smoluchowski equations. For a free particle harmonic oscillator, it is shown that such account for differentiability trajectories well breakdown energy equipartition statistical mechanics at short times in some physical situations. This approach also extended look anomalous diffusion. Next, we bring dynamical-quantization method investigating open quantum systems, which does consist quantizing starting directly from our equations, without alluding any model Hamiltonian. Accordingly, phase space gives rise master equation configuration space, whereas leads space. In addition, worth noticing takes place presence generic environment (e.g. non-thermal fluid). As far special case heat bath comprising oscillators concerned, Caldeira-Leggett thermal are derived bosonic fermionic baths valid all temperatures.