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Journal article Scopus Source The journal / series is indexed in Scopus (SCImago list). The article itself has not been verified. 3 Citations Quartil Q3

Solving time-dependent equations of Schrodinger-type using mapped infinite elements

Duque, J
ISLA — Instituto Politécnico de Gestão e Tecnologia
International Journal of Modern Physics C, 2005
DOI: 10.1142/S012918310500711X

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Abstract
We present a general technique to solve one-dimensional time-dependent Schrödinger-type equations. A mapped infinite elements approach is used to eliminate spurious reflections of outgoing wave packets from the boundaries of the interval of interest. This procedure leads to more precise solutions because the space coordinates are discretized to approximate the solution in the entire physical domain. We show its utility giving numerical results on three typical examples: a bounded short-range potential; the unbounded potential of a particle in a dc field; and a Hamiltonian with an intrinsic time dependence like the Hamiltonian of a charged particle in an ac electromagnetic field.

Keywords

#time-dependent Schrödinger equation #spurious reflections #one-dimensional quantum systems #short-range potentials #time-dependent Hamiltonian #unbounded domains #Bounded function #Hamiltonian (control theory) #Discretization #Electromagnetic field #Wave packet #Spurious relationship #Schrödinger equation #Mathematics

Bibliographic Details

Publication Type Journal article
Publication Year 2005
Journal / Conference / Work International Journal of Modern Physics C
Quartile (SCImago) Q3
Scopus Indexing Indexed source (via SCImago)

ISLA Authors & Affiliations

J
Jorge Manuel Pereira Duque
jorge.duque@islagaia.pt ID: FD15-6377-8559
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