The Role of Reaction Field on the Dynamics of a Spin-Boson System

研究了相关体系S与其环境B耦合的动力学，特别注意了反应场的作用。在本公式中，相互作用的非绝热效应被认为是反应场的来源。我们首先以精确的封闭形式构造重整化的S和B，考虑到相互作用的绝热和非绝热效应而不混合它们。然后，由于相互作用的非绝热效应，将反应场识别为重正化S和B的极化。用这两部分成功地重构了时间演化算子和密度矩阵。动力学在实时表示和虚时间表示中都有表达。该公式应用于自旋玻色子系统的量子力学。对其动力学的研究正在进行中。

The dynamics of a relevant system S coupled to its environment B is studied paying particular attention to the role of reaction field. In the present formulation the non-adiabatic effect of interaction is regarded to be the source of the reaction field. We first construct renormalized S and B in the exact closed form, taking account of the adiabatic and non-adiabatic effects of interaction without mixing them. Then the reaction field is identified with the polarizations of renormalized S and B due to the non-adiabatic effect of interaction. The time-evolution operator and the density matrix are successfully reconstructed in terms of such two parts. The dynamics is fprmulated both in the real time representation and in the imaginary time one.The formulation is applied to the quantum mechanics of a spin-boson system. The study of its dynamics is in progress.