The Role of Reaction Field on the Dynamics of a Spin-Boson System
Project/Area Number |
06640495
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Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
物性一般(含基礎論)
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Research Institution | TOHOKU UNIVERSITY |
Principal Investigator |
TSUZUKI Toshio Graduate School of Science, TOHOKU UNIVERSITY,Professor, 大学院・理学研究科, 教授 (60037174)
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Project Period (FY) |
1994 – 1996
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Project Status |
Completed (Fiscal Year 1996)
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Budget Amount *help |
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1996: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1995: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1994: ¥700,000 (Direct Cost: ¥700,000)
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Keywords | 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 |
Research Abstract |
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.
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Report
(4 results)
Research Products
(6 results)