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

33 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 - 1990

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

Access to Document

10.1137/0727003

Cite this

@article{12da418bfb07471b8a23d758d2ed09ef,

title = "Spectral method for the numerical simulation of quantum tunneling phenomena",

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.",

author = "Christian Ringhofer",

year = "1990",

doi = "10.1137/0727003",

language = "English (US)",

volume = "27",

pages = "32--50",

journal = "SIAM Journal on Numerical Analysis",

issn = "0036-1429",

publisher = "Society for Industrial and Applied Mathematics Publications",

number = "1",

}

TY - JOUR

T1 - Spectral method for the numerical simulation of quantum tunneling phenomena

AU - Ringhofer, Christian

PY - 1990

Y1 - 1990

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0025387999&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0025387999&partnerID=8YFLogxK

U2 - 10.1137/0727003

DO - 10.1137/0727003

M3 - Article

AN - SCOPUS:0025387999

SN - 0036-1429

VL - 27

SP - 32

EP - 50

JO - SIAM Journal on Numerical Analysis

JF - SIAM Journal on Numerical Analysis

IS - 1

ER -

Spectral method for the numerical simulation of quantum tunneling phenomena

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this