Use of negative complex potential as absorbing potential

Jiu Yuan Ge, John Zhang

Research output: Contribution to journalArticle

Abstract

Exact numerical calculation shows that the use of negative complex potential (NCP) significantly improves the efficiency of wavefunction absorption over that of negative imaginary potential (NIP) in scattering applications. The improvement in absorption is especially significant in the case of low energy scattering with de Broglie wavelength larger than the length of absorbing potential. The addition of a negative real potential to the pure imaginary potential speeds up the absorption of wavefunction by effectively shortening its de Broglie wavelength. Explicit TD numerical calculation for a one-dimensional model demonstrates the effectiveness of the NCP and shows that the reflection from the absorbing potential can effectively be eliminated by using optimized absorbing parameters for the energy in question. In addition, comparison of the exact numerical calculation with semiclassical WKB analysis casts a serious doubt on the quantitative value of using WKB analysis at low energies with de Broglie wavelengths much larger than the absorbing length and/or for polynomial absorbing potentials higher than linear.

Original languageEnglish (US)
Pages (from-to)1429-1433
Number of pages5
JournalJournal of Chemical Physics
Volume108
Issue number4
StatePublished - Jan 22 1998

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Wave functions
Wavelength
de Broglie wavelengths
Scattering
Polynomials
scattering
energy
casts
polynomials

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Use of negative complex potential as absorbing potential. / Ge, Jiu Yuan; Zhang, John.

In: Journal of Chemical Physics, Vol. 108, No. 4, 22.01.1998, p. 1429-1433.

Research output: Contribution to journalArticle

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