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
2002
Real time path integrals using the Herman–Kluk propagator
Burant J, Batista V. Real time path integrals using the Herman–Kluk propagator. The Journal Of Chemical Physics 2002, 116: 2748-2756. DOI: 10.1063/1.1436306.Peer-Reviewed Original ResearchFull quantum mechanical resultsOne-dimensional potential energy surfaceReal-time path integralsSemiclassical initial value representationHerman-Kluk propagatorQuantum dynamics calculationsTime evolution operatorInverse overlap matrixQuantum mechanical resultsInitial value representationCoherent state representationLong-time dynamicsPotential energy surfaceTwo-dimensional systemsHerman-Kluk semiclassical initial value representationEvolution operatorNonadiabatic dynamicsTime propagatorPath integralEnergy surfaceOverlap matrixQuantitative agreementDynamics calculationsApproximate calculationBasis set