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85034301692
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note
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The spin-boson model includes explicitly the continuum-like assumption that both centers of charge localization interact with the same medium phonon. Therefore, the local fluctuations of the medium are excluded. When the two localization sites interact with different local phonons, one has to assume equal coupling constants for the two states to reduce the problem to the spin-boson Hamiltonian (Ref. 20).
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24
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0001633341
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An entropic contribution to the activation free energy of harmonic oscillators can be introduced by including a change in the oscillator frequencies with electron transition, see (a) J. P. Hupp, G. A. Neyhart, T. J. Meyer, and E. M. Kober, J. Phys. Chem. 96, 10820 (1992);
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Hupp, J.P.1
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Kober, E.M.4
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29
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33748625353
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The distinction between the long-range and short-range forces does not manifest itself for the early-time dynamic solvent response. The ultrafast dynamics is essentially one-particle in character, see B. M. Ladanyi and R. M. Stratt, J. Phys. Chem. 100, 1266 (1996); B. M. Ladanyi and R. M. Stratt, J. Phys. Chem. A 102, 1068 (1998).
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Ladanyi, B.M.1
Stratt, R.M.2
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30
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0032002865
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The distinction between the long-range and short-range forces does not manifest itself for the early-time dynamic solvent response. The ultrafast dynamics is essentially one-particle in character, see B. M. Ladanyi and R. M. Stratt, J. Phys. Chem. 100, 1266 (1996); B. M. Ladanyi and R. M. Stratt, J. Phys. Chem. A 102, 1068 (1998).
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33
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37
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0001203249
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(c) 93, 5211 (1990);
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38
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(d) 86, 5088 (1992).
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48
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85034308019
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note
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n masses. It has thus no bearing on the separation of electronic timescales as in Eq. (3).
-
-
-
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53
-
-
33847079599
-
-
i are reorganization energies of the corresponding modes. See, e.g., H. Sumi and R. A. Marcus, J. Chem. Phys. 84, 4894 (1986). When a broad spectrum of classical modes is involved, its upper cut-off should be considered as a characteristic frequency.
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Sumi, H.1
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55
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85034277663
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note
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0〉 the nonequilibrium solvation stationary states. In their case, however, E′ is a function of the solvent polarization that is a collective variable involving constrained averaging over the nuclear coordinates [see the discussion preceding Eq. (57)]. Our term is used to stress two basic features: (i) no β→∞ limit is taken in Eq. (2) and (ii) no averaging over the nuclear degrees of freedom has been performed.
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65
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0002531683
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Intermolecular Forces
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Wiley, New York
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Hirschfelder, J.O.1
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85034297811
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note
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Grassmann elements satisfy the following relations (Ref. 37) {a*,a} = 1, {a,a} = 0, ∫ ada = ∫ a*da* = 1, ∫ da = ∫ da* = 0.
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77
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0542370475
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N.Y.
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Holstein, T.1
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80
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0011412522
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1P excited state of He [M. Rerat and C. Pouchan, Phys. Rev. A 49, 829 (1994)]. Diatomic ions in excited electronic states may have negative polarizabilities [P. E. Maslen, J. M. Papanikolas, J. Faeder, R. Parson, and S. V. ONeil, J. Chem. Phys. 101, 5731 (1994)].
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Phys. Rev. A
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Rerat, M.1
Pouchan, C.2
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81
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1642595752
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1P excited state of He [M. Rerat and C. Pouchan, Phys. Rev. A 49, 829 (1994)]. Diatomic ions in excited electronic states may have negative polarizabilities [P. E. Maslen, J. M. Papanikolas, J. Faeder, R. Parson, and S. V. ONeil, J. Chem. Phys. 101, 5731 (1994)].
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Maslen, P.E.1
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(a) I. R. Gould, D. Noukakis, L. Gomes-Jahn, R. H. Young, J. L. Goodman, and S. Farid, Chem. Phys. 176, 439 (1993);
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(b) I. R. Gould, R. H. Young, L. J. Mueller, A. C. Albrecht, and S. J. Farid, J. Am. Chem. Soc. 116, 8188 (1994);
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88
-
-
85034307921
-
-
note
-
An obvious problem with the Kim and Hynes formulation (Ref. 16d) is the unphysical asymmetry of Eqs. (61) and (62) with respect to the sign switch v→-v. In fact, Eq. (62) can be solved for v < 0 and often does not have a solution for v>0. This defect does not appear in Eq. (60) and in the variational procedures (Refs. 7b, 22b).
-
-
-
-
89
-
-
85034289323
-
-
note
-
0 in Eq. (63).
-
-
-
-
90
-
-
85034289427
-
-
note
-
12〉 and the latter parameter in fact enters equations for radiative rates and absorption intensities.
-
-
-
-
92
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0000966195
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-
(b) P. W. Joireman, R. T. Kroemer, D. W. Pratt, and J. P. Simons, J. Chem. Phys. 105, 6075 (1996).
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Joireman, P.W.1
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Pratt, D.W.3
Simons, J.P.4
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