A time splitting method for the three-dimensional linear Pauli equation

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Gutleb, Timon S. and Mauser, Norbert J. and Ruggeri, Michele and Stimming, Hans Peter (2024) A time splitting method for the three-dimensional linear Pauli equation. Computational Methods in Applied Mathematics, 24 (2). pp. 407-420. ISSN 1609-9389 (https://doi.org/10.1515/cmam-2023-0094)

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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.

ORCID iDs

Gutleb, Timon S., Mauser, Norbert J., Ruggeri, Michele ORCID logoORCID: https://orcid.org/0000-0001-6213-1602 and Stimming, Hans Peter;
  • Item type:Article
    ID code:89069
    Dates:
    Date
    Event
    1 April 2024
    Published
    6 October 2023
    Published Online
    9 August 2023
    Accepted
    4 April 2023
    Submitted
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:01 May 2024 14:15
    Last modified:11 Nov 2024 14:18
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/89069
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