Year: 2007
Communications in Computational Physics, Vol. 2 (2007), Iss. 1 : pp. 1–53
Abstract
In this paper we survey recent progress in symplectic algorithms for use in
quantum systems in the following topics: Symplectic schemes for solving Hamiltonian
systems; Classical trajectories of diatomic systems, model molecule A2B, Hydrogen ion
H2+ and elementary atmospheric reaction N(4S)+O2(X3Σ8−)→NO(X2Π)+O(3P) calculated
by means of Runge-Kutta methods and symplectic methods; the classical dissociation
of the HF molecule and classical dynamics of H2+ in an intense laser field; the
symplectic form and symplectic-scheme shooting method for the time-independent
Schrödinger equation; the computation of continuum eigenfunction of the Schrödinger
equation; asymptotic boundary conditions for solving the time-dependent Schrödinger
equation of an atom in an intense laser field; symplectic discretization based on asymptotic
boundary condition and the numerical eigenfunction expansion; and applications
in computing multi-photon ionization, above-threshold ionization, Rabbi oscillation
and high-order harmonic generation of laser-atom interaction.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2007-CiCP-7894
Communications in Computational Physics, Vol. 2 (2007), Iss. 1 : pp. 1–53
Published online: 2007-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 53