Spurious Modes in Dirac Calculations and How to Avoid Them

Eric S\'er\'e; Mathieu Lewin

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Spurious Modes in Dirac Calculations and How to Avoid Them

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arxiv 1306.5401 v2 pith:R6FDVBRQ submitted 2013-06-23 math-ph cs.NAmath.MPmath.NAphysics.atom-phquant-ph

Spurious Modes in Dirac Calculations and How to Avoid Them

Mathieu Lewin , Eric S\'er\'e This is my paper

classification math-ph cs.NAmath.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.

Spurious Modes in Dirac Calculations and How to Avoid Them

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