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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 99 (1995), S. 2777-2781 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 104 (1996), S. 1506-1518 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The model of two nondegenerate quantum levels coupled linearly and off-diagonally to a bath of quantum mechanical harmonic oscillators studied previously by Laird, Budimir, and Skinner is re-examined. Interpretations are made for both the fourth order population relaxation and dephasing processes. Some of the methods used are applied to the standard spin-boson problem. The question of experimental detection of predicted phenomena is discussed. An approximate method, based on a canonical transformation of the original Hamiltonian is proposed to study the problem. © 1996 American Institute of Physics.
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 112 (2000), S. 3280-3284 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The self-consistent harmonic theory developed in the preceding paper for the study of classical solvation dynamics in glassy media is extended to treat quantum solvation. In particular, a quantum set of optimized normal modes and a methodology for calculating, quantum mechanically, all multiphonon contributions to solvation are presented. The simulation of solvation dynamics in a low temperature glass shows nontrivial quantum effects. The relationship between the quantum theory presented in this work and previous theories is discussed. © 2000 American Institute of Physics.
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 112 (2000), S. 3267-3279 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Various harmonic theories of classical solvation dynamics in glassy systems are discussed. The "optimized normal mode" theory is found to provide a substantial improvement over more standard normal mode approaches for the description of solvation dynamics in both glassy and supercooled media. A methodology is developed to include all multiphonon terms in the expansion of the collective solvation coordinate, thus going beyond "linear" solvation theories. The results suggest that the methods described here can provide a quantitative description of solvation over a wide temperature range in systems of low diffusiveness. Lastly, the extension of Zwanzig's model of self-diffusion in supercooled media to the treatment of solvation phenomena is discussed. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Palo Alto, Calif. : Annual Reviews
    Annual Review of Physical Chemistry 56 (2005), S. 157-185 
    ISSN: 0066-426X
    Source: Annual Reviews Electronic Back Volume Collection 1932-2001ff
    Topics: Chemistry and Pharmacology , Physics
    Notes: We review our recent efforts to formulate and study a mode-coupling approach to real-time dynamic fluctuations in quantum liquids. Comparison is made between the theory and recent neutron scattering experiments performed on liquid ortho-deuterium and para-hydrogen. We discuss extensions of the theory to supercooled and glassy states where quantum fluctuations compete with thermal fluctuations. Experimental scenarios for quantum glassy liquids are briefly discussed.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 113 (2000), S. 919-929 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The centroid dynamics formalism is extended to the calculation of time correlation functions of nonlinear operators. It is shown that centroid correlation functions can be related to quantum mechanical ones via higher order Kubo-type transforms. A key step is the construction of the correlation functions from a mixed classical/semiclassical centroid representation of the operators. A general methodology is developed to relate these Kubo-type transforms to the desired quantum correlation functions. The approach is tested using a one-dimensional anharmonic potential for which the 〈x2x2(t)〉 and the 〈x3x3(t)〉 correlation functions are computed. Applications of this new approach are also outlined. © 2000 American Institute of Physics.
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  • 7
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 116 (2002), S. 8376-8383 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Two distinct reaction path methods are combined with the imaginary time centroid formalism to yield an approximate means of computing effective quantum rates without a preconceived notion of a reaction coordinate or transition state. The first method, which combines the imaginary time centroid formalism with the determination of minimum energy pathways, is appropriate for use when energetic factors dominate the rate process. The second utilizes an approximate determination of an effective centroid potential and the transition path sampling method of Chandler and co-workers, an approach designed for reactions that occur on more complex landscapes. The two methods are applied to the isomerization of a seven-atom argon cluster at 5 K where quantum effects are relevant. © 2002 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 114 (2001), S. 1065-1074 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A systematic approach to improve the short time dynamics for classical mapping treatments of nonadiabatic dynamics is developed. This approach is based on the Taylor expansion of time-dependent observables around t=0. By sampling initial conditions in a manner that renders accurate static moments of the electronic population, it is shown that the short time electronic population dynamics described by classical mapping approaches for nonadiabatic dynamics can be greatly improved. The approach is illustrated on the example of the spin-boson model. For this problem, the analysis of the expansion coefficients reveals why classical mapping approaches to nonadiabatic dynamics often perform much worse for energetically biased reactions than they do for reactions with zero bias. The analysis presented here not only allows for the improvement of short time (and often long time) behavior, but also points to a systematic way of accessing how accurate a given classical mapping approach should be for a given problem. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 115 (2001), S. 9862-9870 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: In this paper we test and apply the master equation approaches developed in paper I. We demonstrate that our master equation methods can greatly improve upon the performance of more standard approaches, rendering nearly quantitative agreement compared to numerically exact tests under a variety of conditions. The methods developed in paper I are also demonstrated to be fully capable of handling the effects of nonequilibrium initial preparation, which can be quite prominent at short times. This property is used to study the kinetics of photoinduced charge transfer in a mixed valence compound. For this system, we discuss observed short-time nonexponential behavior, dynamical trapping, and coherence. Last, we discuss the significant computational advantages of our methods in terms of their scaling with the number of discrete states in the system. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 115 (2001), S. 9848-9861 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Two complimentary master equation approaches for the study of condensed phase charge transfer processes are developed. The first approach is appropriate when the (diabatic) activation energy is larger than the electronic coupling strength, and thus localized tight binding states form a zeroth-order set of electronic states. The second approach, the "pure dephasing reference system" (PDRS) master equation method, is designed to study the case where charge is delocalized over the donor and acceptor sites, and a zeroth-order set of "quasiadiabatic" states are used as a reference system. It is argued that a large majority of the electron transfer parameter space may be accurately covered with these two methods. Particular emphasis is placed on the treatment of nonequilibrium initial preparation, short-time nonexponential behavior, and backflow. The methods outlined in this work are general enough to treat anharmonic environments. A semiclassical implementation of the master equation approaches appropriate for anharmonic environments is outlined. The relationship between the methods developed herein and previous work, including the "nonequilibrium golden rule"-type methods of Coalson and co-workers [J. Chem. Phys. 101, 436 (1994); 102, 5658 (1995)] is analyzed. The limitations of the methods are discussed. © 2001 American Institute of Physics.
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