2016
Time-Sliced Thawed Gaussian Propagation Method for Simulations of Quantum Dynamics
Kong X, Markmann A, Batista V. Time-Sliced Thawed Gaussian Propagation Method for Simulations of Quantum Dynamics. The Journal Of Physical Chemistry A 2016, 120: 3260-3269. PMID: 26845486, DOI: 10.1021/acs.jpca.5b12192.Peer-Reviewed Original ResearchQuantum dynamicsFourth-order Runge-KuttaTime-evolved stateHusimi transformRunge-KuttaCharacteristic equationInitial superpositionGaussian methodOverlap matrixLinear superpositionVelocity VerletIntegral calculationQuantum tunnelingTransform methodFourier transform methodBenchmark calculationsQuantitative agreementPropagation methodRigorous methodGaussianDynamic propagationSimulationsSuperpositionDynamicsEquations
2009
Quantum Dynamics of the Excited‐State Intramolecular Proton Transfer in 2‐(2′‐Hydroxyphenyl)benzothiazole
Kim J, Wu Y, Brédas J, Batista V. Quantum Dynamics of the Excited‐State Intramolecular Proton Transfer in 2‐(2′‐Hydroxyphenyl)benzothiazole. Israel Journal Of Chemistry 2009, 49: 187-197. DOI: 10.1560/ijc.49.2.187.Peer-Reviewed Original ResearchReaction dynamicsExcited state intramolecular proton transfer (ESIPT) dynamicsExcited state potential energy surfacesExcited-state reaction dynamicsReaction surface HamiltonianExcited-state intramolecular proton transferUltrafast reaction dynamicsCoherent-state expansionProton transfer dynamicsPotential energy surfaceIntramolecular proton transferQuantum dynamicsTime evolution operatorSurface HamiltonianWave packetsSurvival amplitudeTrotter expansionPolyatomic systemsEnergy surfacePropagation methodProton transferTautomerization reactionExperimental dataFourier transform methodPropagation scheme
2005
Matching-pursuit∕split-operator Fourier-transform simulations of nonadiabatic quantum dynamics
Wu Y, Herman M, Batista V. Matching-pursuit∕split-operator Fourier-transform simulations of nonadiabatic quantum dynamics. The Journal Of Chemical Physics 2005, 122: 114114. PMID: 15836208, DOI: 10.1063/1.1881132.Peer-Reviewed Original ResearchNonadiabatic quantum dynamicsQuantum dynamicsGradient-based optimization methodsStandard perturbation expansionAdiabatic quantum dynamicsNonadiabatic dynamicsTime evolution operatorCoherent state representationCanonical model systemOptimization methodPerturbation expansionMultidimensional systemsNatural extensionPropagation schemeFourier transform methodMatching pursuit algorithmPropagation methodDynamicsSimulationsTesting simulationsAlgorithmOperatorsAccuracyScheme