Shu-Considerateness and Ren-Humaneness: The Confucian Silver Rule and Golden Rule

The nonequilibrium Fermi’s golden rule (NE-FGR) describes the time-dependent rate coefficient for electronic transitions, when the nuclear degrees of freedom start out in a nonequilibrium state. In this letter, the linearized semiclassical (LSC) approximation of the NE-FGR is used to calculate the photoinduced charge transfer rates in the carotenoid-porphyrin-C60 molecular triad dissolved in explicit tetrahydrofuran. The initial nonequilibrium state corresponds to impulsive photoexcitation from the equilibrated ground-state to the ππ* state, and the porphyrin-to-C60 and the carotenoid-to-C60 charge transfer rates are calculated. Our results show that accounting for the nonequilibrium nature of the initial state significantly enhances the transition rate of the porphyrin-to-C60 CT process. We also derive the instantaneous Marcus theory (IMT) from LSC NE-FGR, which casts the CT rate coefficients in terms of a Marcus-like expression, with explicitly time-dependent reorganization energy and reaction free energy. IMT is found to reproduce the CT rates in the system under consideration remarkably well.

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"The Buddhist Golden Rule Towards De-religionism: Self and no-self from Space and Natural Law"

The Korea Journal of Buddhist Professors ◽

10.34281/kabp.26.2.7 ◽

2020 ◽

Vol 26 (2) ◽

pp. 125-140

Author(s):

Haeyoung Won

Keyword(s):

Natural Law ◽

Golden Rule

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Golden Age and Golden Rule in Unionized Economies

Review of Radical Political Economics ◽

10.1177/0486613406296930 ◽

2007 ◽

Vol 39 (1) ◽

pp. 100-107

Author(s):

Henrik Vetter

Keyword(s):

Golden Age ◽

Golden Rule

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An unified approach to inelastic light scattering in Keldysh–Schwinger functional integral formalism

International Journal of Modern Physics B ◽

10.1142/s021797921550040x ◽

2015 ◽

Vol 29 (07) ◽

pp. 1550040 ◽

Cited By ~ 1

Author(s):

Hyun Cheol Lee

Keyword(s):

Light Scattering ◽

Cross Sections ◽

Golden Rule ◽

Functional Integral ◽

Integral Formalism ◽

Inelastic Light Scattering ◽

Scattering Geometry ◽

The One ◽

Resonant Part ◽

Functional Integral Formalism

We propose a theoretical framework which can treat the nonresonant and the resonant inelastic light scattering on an equal footing in the form of correlation function, employing Keldysh–Schwinger functional integral formalism. The interference between the nonresonant and the resonant process can be also incorporated in this framework. This approach is applied to the magnetic Raman scattering of two-dimensional antiferromagnetic insulators. The entire set of the scattering cross-sections are obtained at finite temperature, the result for the resonant part agrees with the one obtained by the conventional Fermi golden rule at zero temperature. The interference contribution is shown to be very sensitive to the scattering geometry and the band structure.

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