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

反应场对自旋玻色子系统动力学的作用

• 批准号: 06640495
• 负责人: TSUZUKI Toshio
• 金额: $ 1.41万
• 依托单位: TOHOKU UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1994
• 资助国家: 日本
• 起止时间: 1994 至 1996
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06640495/
• 关键词: spin-boson system; dynamics; adiabatic effect; non-adiabatic effect; reaction field; non-perturbational; スピン-ボゾン系の動力学; 非断熱相互作用; 時間発展演算子; 密度行列; 赤外発散と動的補償; スピン-ボソン系の動力学; 動的補償; 局在-非局在; バイアス効果; 非白色効果; 赤外発散; 選択則

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.

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。

项目成果

T.Tsuzuki: "Dynamic Compensation Theory of a Spin-Boson System" Prog.Theor.Phys.Vol.92 No.4. 709-732 (1994)

T.Tsuzuki：“自旋玻色子系统的动态补偿理论”Prog.Theor.Phys.Vol.92 No.4。

T.Tsuzuki: "Rigorous Quantum Mechanics and Dynamics of an Inversion Symmetric Spin-Boson System" Prog.Theor.Phys.Vol.92 No.2. 465-469 (1994)

T.Tsuzuki：“反演对称自旋玻色子系统的严格量子力学和动力学”Prog.Theor.Phys.Vol.92 No.2。

都築,俊夫: "Dynamic Compensation Theory of a Spin-Boson System" Progress of Theoretical Physics. 92. 709-732 (1994)

Tsuzuki, Toshio：“自旋玻色子系统的动态补偿理论”理论物理学进展 92. 709-732 (1994)。

都築 俊夫: "Rgorous Quantum Mechanics and Dynamics of an Inversion Symmetric Spin-Boson System" Prog.Theor.Phys.92. 465-469 (1994)

Toshio Tsuzuki：“反演对称自旋玻色子系统的严格量子力学和动力学”Prog.Theor.Phys.92 (1994)。

都築 俊夫: "Dynamic Compensation Theory of a Spin-Boson System" Prog.Theor.Phys.92. 709-732 (1994)

Toshio Tsuzuki：“自旋玻色子系统的动态补偿理论”Prog.Theor.Phys.92 (1994)。