On Existence of a Biorthonormal Basis Composed of Eigenvectors of Non-Hermitian Operators

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dc.creatorTanaka, Toshiaki
dc.date2006-03-09
dc.date2006-05-24
dc.date.accessioned2026-07-07T07:07:59Z
dc.date.available2026-07-07T07:07:59Z
dc.descriptionWe present a set of necessary conditions for the existence of a biorthonormal basis composed of eigenvectors of non-Hermitian operators. As an illustration, we examine these conditions in the case of normal operators. We also provide a generalization of the conditions which is applicable to non-diagonalizable operators by considering not only eigenvectors but also all root vectors.
dc.description6 pages, no figures; (v2) minor revisions based on the comment quant-ph/0603096; (v3) presentation improved, final version to appear in Journal of Physics A
dc.identifierhttps://arxiv.org/abs/quant-ph/0603075
dc.identifierhttp://arxiv.org/abs/quant-ph/0603075
dc.identifierJ. Phys. A: Math. Gen. 39 (2006) 7757-7761
dc.identifierdoi:10.1088/0305-4470/39/24/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110592
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.subjectFunctional Analysis
dc.titleOn Existence of a Biorthonormal Basis Composed of Eigenvectors of Non-Hermitian Operators
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