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arXiv · 2005.06072

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

Timon S. Gutleb·Norbert J. Mauser·Michele Ruggeri·Hans Peter Stimming
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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 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.

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Timon S. Gutleb, Norbert J. Mauser, Michele Ruggeri, Hans Peter Stimming. 2023-04-03. A time splitting method for the three-dimensional linear Pauli equation. https://arxiv.org/abs/2005.06072

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