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21
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0021796467
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have given a qualitative discussion of this point in the context of ligand binding to heme proteins. Their arguments, however, are more generally applicable
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(1985)
Science
, vol.229
, pp. 337
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Frauenfelder, H.1
Wolynes, P.G.2
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23
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85034722532
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has been studying the same Hamiltonian and obtains results similar to ours (private communication to be published)
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Wolynes, P.G.1
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24
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85034726020
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To assist the reader, we note that the ensuing discussion [up to the end of the paragraph containing Eq. (1.7)] is devoted to a specification of the parameters in Eq. (1.3)
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33
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85034730315
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We reemphasize that the above maneuver for finding [formula omitted] is merely a labor saving device, and that the result [Eq. (2.17)] can be obtained by starting with the Hamiltonian [Eqs. (1.3) and (1.4)] and integrating out the bath oscillators [formula omitted] } then the reaction coordinate y by brute force
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34
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85034729418
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The reason for considering trajectories [formula omitted] and [formula omitted] extending all the way to [formula omitted] has to do with subtle differences between the quantities [formula omitted] and [formula omitted] defined in Sec. 3 and Appendix B of Ref. 20
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35
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85034721812
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A more detailed discussion of this case has been given by (a) W. S. Bialek, Ph.D. thesis, University of California at Berkeley, 1983 (unpublished)
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39
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85034727592
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Since the equations that follow are somewhat complicated in appearance, it is worthwhile to summarize our notation here. Both x and y denote values of the reaction coordinate with [formula omitted] and [formula omitted] being the “forward” and the “backward” trajectories, respectively. Since we do not need to refer to the bath coordinates explicitly in this section, this should not cause any confusion. Similarly, σ and λ denote values of [formula omitted] and [formula omitted] and [formula omitted] are the forward and backward spin trajectories. Finally, all initial values at time [formula omitted] are denoted with primes, and all final values are unprimed
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