Interaction representation in time-dependent quantum scattering: Elimination of finite boundary reflection

Research output: Contribution to journalArticle

Abstract

In a recently proposed method, the time-dependent Schrödinger equation is integrated in the interaction representation rather than in the usual Schrödinger representation. This approach is superior to the conventional one for carrying out quantum scattering calculations due to a large reduction in the number of grid points and the use of large time increments for the numerical integration. This paper presents a method that combines the use of FFT and quadrature schemes to eliminate the finite boundary reflection resulting from the discrete Fourier transform. As a result, the method is free of finite boundary reflection and therefore achieves a further reduction in the number of grid points.

Original languageEnglish (US)
Pages (from-to)417-422
Number of pages6
JournalChemical Physics Letters
Volume160
Issue number4
DOIs
StatePublished - Aug 18 1989

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elimination
grids
Scattering
fast Fourier transformations
numerical integration
scattering
quadratures
Discrete Fourier transforms
Fast Fourier transforms
interactions

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry
  • Spectroscopy
  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics
  • Surfaces and Interfaces

Cite this

Interaction representation in time-dependent quantum scattering : Elimination of finite boundary reflection. / Zhang, John.

In: Chemical Physics Letters, Vol. 160, No. 4, 18.08.1989, p. 417-422.

Research output: Contribution to journalArticle

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