A Time Splitting Method for the Three-Dimensional Linear Pauli Equation

Titel in Übersetzung: Eine Time-Splitting-Methode fuer die dreidimensionale lineare Pauli-Gleichung

Timon Salar Gutleb, Norbert Mauser, Michele Ruggeri, Hans Peter Stimming

Veröffentlichungen: Beitrag in FachzeitschriftArtikelPeer Reviewed

Abstract

We analyze a numerical method to solve the time-dependent linear Pauli equation in three space dimensions. The Pauli equation is a semi-relativistic generalization of the Schrödinger equation for 2-spinors which accounts both for magnetic fields and for spin, with the latter missing in preceding numerical work on the linear magnetic Schrödinger equation. We use a four term operator splitting in time, prove stability and convergence of the method and derive error estimates as well as meshing strategies for the case of given time-independent electromagnetic potentials, thus providing a generalization of previous results for the magnetic Schrödinger equation.
Titel in ÜbersetzungEine Time-Splitting-Methode fuer die dreidimensionale lineare Pauli-Gleichung
OriginalspracheEnglisch
Seiten (von - bis)399-412
Seitenumfang14
FachzeitschriftComputational Methods in Applied Mathematics
Jahrgang24
Ausgabenummer2
DOIs
PublikationsstatusVeröffentlicht - 1 Apr. 2024

ÖFOS 2012

  • 101014 Numerische Mathematik

Zitationsweisen