Spectral method for the numerical simulation of quantum tunneling phenomena

Christian Ringhofer

doi:10.1137/0727003

Spectral method for the numerical simulation of quantum tunneling phenomena

Christian Ringhofer

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

29 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 language	English (US)
Pages (from-to)	32-50
Number of pages	19
Journal	SIAM Journal on Numerical Analysis
Volume	27
Issue number	1
DOIs	https://doi.org/10.1137/0727003
State	Published - Jan 1 1990

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

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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.",

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AB - 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.

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Spectral method for the numerical simulation of quantum tunneling phenomena

Abstract

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