A System of Stochastic Differential Equations within NETFD : Can Quantumness be an Origin of Dissipation? (Trends in Infinite Dimensional Analysis and Quantum Probability)
Toshihco Arimitsu
Most of the mathematical approaches for quantum Langevin equation are based on the noncommutativity of the random force operators.Non-commutative random force operators are introduced in order to guarantee that the equal-time commutation relation for the stochastic anlihilation and creation operators preserves in time.If it is true, it means that the origin of dissipation is of quantum mechanical.However, physically, it is hard to believe it.By making use of the unified canonical operator formalism for the system of the quantum stochastic differential equations within Non-Equilibri um Thermo Field Dynamics, it is shown that it is not true in general.
数理解析研究所講究録•Aug 1, 2002•0 citations