Non-self-adjoint hamiltonians defined by Riesz bases

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Mar 2014Embargo end date: 01 Jan 2014 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 55 (issn: 0022-2488, eissn: 1089-7658,

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Authors: Bagarello, F.; Inoue, A.; Trapani, C.;

doi: 10.1063/1.4866779 , 10.48550/arxiv.1402.6199

arXiv: 1402.6199

Non-self-adjoint hamiltonians defined by Riesz bases

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Abstract

We discuss some features of non-self-adjoint Hamiltonians with real discrete simple spectrum under the assumption that the eigenvectors form a Riesz basis of Hilbert space. Among other things, we give conditions under which these Hamiltonians can be factorized in terms of generalized lowering and raising operators.

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Keywords

Operator algebra methods applied to problems in quantum theory, Quantum Physics, FOS: Physical sciences, Mathematical Physics (math-ph), Quantum Physics (quant-ph), Mathematical Physics, Nonselfadjoint operator theory in quantum theory including creation and destruction operators

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