| Project/Area Number |
10206210
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| Research Category |
Grant-in-Aid for Scientific Research on Priority Areas (B)
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| Allocation Type | Single-year Grants |
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| Research Institution | Okazaki National Research Institutes |
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Principal Investigator |
TANIMURA Yoshitaka Okazaki Research Institute, Institute for Molecular Science, Associate Professor, 分子科学研究所, 助教授 (20270465)
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| Project Period (FY) |
1998 – 2000
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| Project Status |
Completed (Fiscal Year 2001)
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| Budget Amount *help |
¥17,100,000 (Direct Cost: ¥17,100,000)
Fiscal Year 2000: ¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 1999: ¥7,000,000 (Direct Cost: ¥7,000,000)
Fiscal Year 1998: ¥8,500,000 (Direct Cost: ¥8,500,000)
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| Keywords | Two-dimensional Spectroscopy / Fifth-order optical process / Qauntum Brownian model / Inhomogeneous / Fokker-Planck equation / Tunneling process / ブラウン運動 / トンネル現象 / 2次元赤外分光 |
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| Research Abstract |
We employ various statistical mechanical models, such as a quantum Brownian oscillator system with nonlinear system-bath interactions and a quantum dissipative rotator to study dynamics of molecules in condensed phases and we demonstrate how the differences of models reveal on two-dimensional spectroscopy as profiles of signals. Calculations of multi-time correlation functions of molecular coordinate, which are the observables of two-dimensional spectroscopy, are based on newly developed path-integral and quantum Fokker-Planck formalisms. For nonlinear system-bath coupling model, we calculate the three and four-time correlation functions, which corresponds to fifth-order Raman and infrared photon echo measurements, by solving Gaussian-Markovian Fokker-Planck equation and show an interesting change of signal profiles corresponding to the homogeneous and inhomogeneous distribution of system oscillators which are set by a noise correlation time. For damped rotator case, we obtained analytical solution of multi-time correlation functions by using analytical expression of generating functional and show that quantum effects play a minor role in two-time correlation functions, but play a major role In four-time correlation functions.
Our results in three years (1998-2001) are published as nine scientific papers of JCP and CPL, etc.
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