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Pré-Publication, Document De Travail Année : 2023

A multipoint perturbation formula for eigenvalue problems

Résumé

Standard perturbation theory of eigenvalue problems consists of obtaining approximations of eigenmodes in the neighborhood of a Hamiltonian where the corresponding eigenmode is known. Nevertheless, if the corresponding eigenmodes of several nearby Hamiltonians are known, standard perturbation theory cannot simultaneously use all this knowledge to provide a better approximation. We derive a formula enabling such an approximation result, and provide numerical examples for which this method is more competitive than standard perturbation theory.

Dates et versions

hal-04306791 , version 1 (25-11-2023)

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Geneviève Dusson, Louis Garrigue, Benjamin Stamm. A multipoint perturbation formula for eigenvalue problems. 2023. ⟨hal-04306791⟩
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