Accurate Long-Time Mixed Quantum-Classical Liouville Dynamics via the Transfer Tensor Method.
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Jianshu Cao | Alexei A Kananenka | Eitan Geva | Chang-Yu Hsieh | Jianshu Cao | Chang-Yu Hsieh | Eitan Geva | Alexei A. Kananenka
[1] A. Leggett,et al. Dynamics of the dissipative two-state system , 1987 .
[2] Francesco Petruccione,et al. Stochastic simulation of long-time nonadiabatic dynamics , 2011 .
[3] Raymond Kapral,et al. Analysis of the quantum-classical Liouville equation in the mapping basis. , 2010, The Journal of chemical physics.
[4] Francesco Petruccione,et al. Stochastic Simulation of Nonadiabatic Dynamics at Long Time , 2010, 1003.3117.
[5] Qiang Shi,et al. A derivation of the mixed quantum-classical Liouville equation from the influence functional formalism. , 2004, The Journal of chemical physics.
[6] R. Zwanzig. Ensemble Method in the Theory of Irreversibility , 1960 .
[7] Mak,et al. Low-temperature dynamical simulation of spin-boson systems. , 1994, Physical review. B, Condensed matter.
[8] G. D. Billing. Quantum corrections to the classical path theory , 1993 .
[9] Joseph E Subotnik,et al. Understanding the Surface Hopping View of Electronic Transitions and Decoherence. , 2016, Annual review of physical chemistry.
[10] Giovanni Ciccotti,et al. Trotter-based simulation of quantum-classical dynamics. , 2008, The journal of physical chemistry. B.
[11] Donald G. Truhlar,et al. Continuous surface switching: An improved time-dependent self-consistent-field method for nonadiabatic dynamics , 2000 .
[12] Gabriel Hanna,et al. Vibrational energy relaxation of a hydrogen-bonded complex dissolved in a polar liquid via the mixed quantum-classical Liouville method. , 2008, The journal of physical chemistry. B.
[13] Francesco Petruccione,et al. Filtering schemes in the quantum-classical Liouville approach to nonadiabatic dynamics. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.
[14] Nancy Makri,et al. Semiclassical influence functionals for quantum systems in anharmonic environments 1 Presented at th , 1998 .
[15] Francesco Petruccione,et al. Sampling of quantum dynamics at long time. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.
[16] Raymond Kapral,et al. Quantum-classical description of environmental effects on electronic dynamics at conical intersections. , 2010, The Journal of chemical physics.
[17] Nancy Makri,et al. Path integrals for dissipative systems by tensor multiplication. Condensed phase quantum dynamics for arbitrarily long time , 1994 .
[18] S. Nakajima. On Quantum Theory of Transport Phenomena Steady Diffusion , 1958 .
[19] Gabriel Hanna,et al. Self-Consistent Filtering Scheme for Efficient Calculations of Observables via the Mixed Quantum-Classical Liouville Approach. , 2016, Journal of chemical theory and computation.
[20] Raymond Kapral,et al. Progress in the theory of mixed quantum-classical dynamics. , 2006, Annual review of physical chemistry.
[21] Nancy Makri,et al. The Linear Response Approximation and Its Lowest Order Corrections: An Influence Functional Approach , 1999 .
[22] Raymond Kapral,et al. Quantum dynamics in open quantum-classical systems , 2015, Journal of physics. Condensed matter : an Institute of Physics journal.
[23] P. J. Kuntz,et al. Classical path surface‐hopping dynamics. I. General theory and illustrative trajectories , 1991 .
[24] Jeremy Schofield,et al. Mixed quantum-classical molecular dynamics: Aspects of the multithreads algorithm , 2000 .
[25] Giovanni Ciccotti,et al. Sequential short-time propagation of quantum-classical dynamics , 2002 .
[26] R. Feynman,et al. The Theory of a general quantum system interacting with a linear dissipative system , 1963 .
[27] Gerhard Stock,et al. Quantum-classical Liouville description of multidimensional nonadiabatic molecular dynamics , 2001 .
[28] J. Tully,et al. Trajectory Surface Hopping Approach to Nonadiabatic Molecular Collisions: The Reaction of H+ with D2 , 1971 .
[29] A. Donoso,et al. Semiclassical multistate Liouville dynamics in the adiabatic representation , 2000 .
[30] G. Ciccotti,et al. Linearization approximations and Liouville quantum-classical dynamics , 2010 .
[31] Giovanni Ciccotti,et al. ARTICLES Surface-hopping dynamics of a spin-boson system , 2002 .
[32] Aaron Kelly,et al. Efficient and accurate surface hopping for long time nonadiabatic quantum dynamics. , 2013, The Journal of chemical physics.
[33] G. Ciccotti,et al. Mixed quantum-classical dynamics , 1999 .
[34] Qiang Shi,et al. A new approach to calculating the memory kernel of the generalized quantum master equation for an arbitrary system–bath coupling , 2003 .
[35] R. Kapral,et al. Mapping quantum-classical Liouville equation: projectors and trajectories. , 2012, The Journal of chemical physics.
[36] Raymond Kapral,et al. Nonadiabatic dynamics in open quantum-classical systems: forward-backward trajectory solution. , 2012, The Journal of chemical physics.
[37] Jianshu Cao,et al. Efficient simulation of non-Markovian system-environment interaction , 2015, 1510.03100.
[38] Jianshu Cao,et al. Non-Markovian dynamical maps: numerical processing of open quantum trajectories. , 2013, Physical review letters.
[39] Mark A. Ratner,et al. Time‐dependent self‐consistent field approximation for intramolecular energy transfer. I. Formulation and application to dissociation of van der Waals molecules , 1982 .
[40] W. Miller,et al. Semiclassical Theory of Electronic Transitions in Low Energy Atomic and Molecular Collisions Involving Several Nuclear Degrees of Freedom , 1972 .
[41] Nancy Makri,et al. Influence functionals with semiclassical propagators in combined forward-backward time , 1999 .
[42] David R. Reichman,et al. Classical mapping approaches for nonadiabatic dynamics: Short time analysis , 2001 .
[43] D. Coker,et al. Methods for molecular dynamics with nonadiabatic transitions , 1994, chem-ph/9408002.
[44] Ming-Liang Zhang,et al. Nonequilibrium quantum dynamics in the condensed phase via the generalized quantum master equation. , 2006, The Journal of chemical physics.
[45] S. Nakajima,et al. On Quantum Theory of Transport Phenomena , 1959 .
[46] Giovanni Ciccotti,et al. Mixed quantum-classical surface hopping dynamics , 2000 .
[47] J. Tully. Molecular dynamics with electronic transitions , 1990 .
[48] Gabriel Hanna,et al. Quantum-classical Liouville dynamics of nonadiabatic proton transfer. , 2005, The Journal of chemical physics.
[49] A. Akimov,et al. Recent Progress in Surface Hopping: 2011-2015. , 2016, The journal of physical chemistry letters.
[50] P. Rossky,et al. Mean-field molecular dynamics with surface hopping , 1997 .
[51] Michael F. Herman. A semiclassical surface hopping propagator for nonadiabatic problems , 1995 .
[52] Exact and asymptotic solutions of the mixed quantum-classical Liouville equation , 2000 .