玻色子和费米子系统的量子随机微分方程--非平衡热场动力学方法
Quantum stochastic differential equations for boson and fermion systems -- Method of Non-Equilibrium Thermo Field Dynamics
摘要：
在非平衡热场动力学（NETFD）框架下，给出了量子随机微分方程的统一正则算子形式，包括伊藤型和斯特拉托诺维奇型的量子随机Liouville方程和量子Langevin方程.它是通过在薛定谔和海森堡表示与费米子和玻色子布朗运动引入一个适当的鞅算子。为了确定费米子的双波浪共轭规则和热态条件，在NETFD中将由矢量场和Faddeev-Popov鬼组成的系统推广到耗散开放情形.
英文摘要：
A unified canonical operator formalism for quantum stochastic differential equations, including the quantum stochastic Liouville equation and the quantum Langevin equation both of the Itô and the Stratonovich types, is presented within the framework of Non-Equilibrium Thermo Field Dynamics (NETFD). It is performed by introducing an appropriate martingale operator in the Schrödinger and the Heisenberg representations with fermionic and bosonic Brownian motions. In order to decide the double tilde conjugation rule and the thermal state conditions for fermions, a generalization of the system consisting of a vector field and Faddeev-Popov ghosts to dissipative open situations is carried out within NETFD.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
