Momentum space iterative solution of the time-dependent Schrödinger equation

Journal Article · Wed Nov 13 00:00:00 EST 2013 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4832799· OSTI ID:22280649

Kiss, G. Zs.; Borbély, S.; Nagy, L. ^[1]

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1. Faculty of Physics, Babeş-Bolyai University, str. Kogălniceanu nr. 1, 400084 Cluj (Romania)

We present a novel approach, the iterative solution of the time-dependent Schrödinger equation (iTDSE model), for the investigation of atomic systems interacting with external laser fields. This model is the extension of the momentum-space strong-field approximation (MSSFA) [1], in which the Coulomb potential was considered only as a first order perturbation. In the iTDSE approach higher order terms were gradually introduced until convergence was achieved. Benchmark calculations were done on the hydrogen atom, and the obtained results were compared to the direct numerical solution [2].

• OSTI ID: 22280649
• Journal Information: AIP Conference Proceedings, Vol. 1564, Issue 1; Conference: TIM 2012 physics conference, Timisoara (Romania), 27-30 Nov 2012; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
APPROXIMATIONS
BENCHMARKS
COMPARATIVE EVALUATIONS
COULOMB FIELD
HYDROGEN
ITERATIVE METHODS
LASER RADIATION
NUMERICAL SOLUTION
PERTURBATION THEORY
PHOTON-ATOM COLLISIONS
SCHROEDINGER EQUATION
TIME DEPENDENCE