标题： 非平衡热场动力学视角下的量子随机微分方程 显示英文标题

标题： Quantum Stochastic Differential Equations in View of Non-Equlibrium Thermo Field Dynamics

摘要： 量子朗之万方程的大多数数学处理方法都基于随机力算符的非对易性。引入非对易的随机力算符是为了保证随机动灭与产生算符在同一时刻的对易关系在时间上得以保持。如果这一说法成立，则意味着耗散的起源具有量子力学性质。然而，从物理意义上来说，这很难令人信服。通过利用非平衡热场动力学中量子随机微分方程系统的统一正则算符形式化方法表明，这一观点在一般情况下并不成立。 显示英文摘要

摘要： Most of the mathematical approaches for quantum Langevin equation are based on the non-commutativity 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 annihilation 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-Equilibrium Thermo Field Dynamics, it is shown that it is not true in general.