Complex-valued derivative propagation method with adaptive moving grids for electronic nonadiabatic dynamics

DOI10.1016/J.AOP.2022.169084OpenAlexW4292730475MaRDI QIDQ2080995

Chia-Chun Chou

Publication date: 12 October 2022

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2022.169084

zbMATH Keywords

complex quantum Hamilton-Jacobi equationadaptive moving gridderivative propagation methoddiabatic representationelectronic nonadiabatic dynamics

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Lasers, masers, optical bistability, nonlinear optics (78A60) Hamilton-Jacobi equations in mechanics (70H20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• Trajectory approach to the Schrödinger-Langevin equation with linear dissipation for ground states
• A trajectory description of quantum processes. II: Applications. A Bohmian perspective
• A trajectory description of quantum processes. I: Fundamentals. A Bohmian perspective.
• Dissipative quantum trajectories in complex space: damped harmonic oscillator
• A three-step model of high harmonic generation using complex classical trajectories
• Schrödinger-Langevin equation with quantum trajectories for photodissociation dynamics
• Quantum dynamics with trajectories. Introduction to quantum hydrodynamics.
• Bohmian Mechanics, Open Quantum Systems and Continuous Measurements
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I

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