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arxiv: 1306.5401 · v2 · pith:R6FDVBRQnew · submitted 2013-06-23 · 🧮 math-ph · math.MP· math.NA· physics.atom-ph· quant-ph

Spurious Modes in Dirac Calculations and How to Avoid Them

classification 🧮 math-ph math.MPmath.NAphysics.atom-phquant-ph
keywords diracmodesspuriousatomavoidcalculationscomputingconsider
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In this paper we consider the problem of the occurrence of spurious modes when computing the eigenvalues of Dirac operators, with the motivation to describe relativistic electrons in an atom or a molecule. We present recent mathematical results which we illustrate by simple numerical experiments. We also discuss open problems.

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