Spectral method for the numerical simulation of quantum tunneling phenomena

Research output: Contribution to journalArticle

25 Scopus citations

Abstract

Tunneling effects in solid-state physics are frequently described via a quantum mechanical formulation based on the Wigner Distribution Function. In this paper a mixed finite-difference-spectral-collocation method for the solution of the corresponding equation of motion is developed and analyzed. Numerical examples illustrating the convergence results are presented.

Original languageEnglish (US)
Pages (from-to)32-50
Number of pages19
JournalSIAM Journal on Numerical Analysis
Volume27
Issue number1
DOIs
StatePublished - Jan 1 1990

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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