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The non-equivalence of pseudo-Hermiticity and presence of antilinear symmetry

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    SYSNO ASEP0338819
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleThe non-equivalence of pseudo-Hermiticity and presence of antilinear symmetry
    Author(s) Siegl, Petr (UJF-V) RID
    Number of authors1
    Source TitlePramana: journal of physics - ISSN 0304-4289
    Roč. 73, 2 SI (2009), s. 279-286
    Number of pages8 s.
    Action8th Conference on Non-Hermitian Hamiltonians in Quantum Physics
    Event date13.01.2009-16.01.2009
    VEvent locationMumbai
    CountryIN - India
    Event typeWRD
    Languageeng - English
    CountryIN - India
    KeywordsPseudo-Hermiticity ; antilinear symmetry ; J-self-adjoint operator
    Subject RIVBE - Theoretical Physics
    R&D ProjectsLC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
    GA202/07/1307 GA ČR - Czech Science Foundation (CSF)
    CEZAV0Z10480505 - UJF-V (2005-2011)
    UT WOS000269548500007
    AnnotationThe non-equivalence of the presence of antilinear symmetry and pseudo-Hermiticity is shown for bounded operators. Two appropriate examples are operators with non-empty residual spectrum. The class of operators for which the equivalence holds is extended to the spectral operators of scalar type. The importance of J-self-adjointness is stressed and new proofs using this property are provided.
    WorkplaceNuclear Physics Institute
    ContactMarkéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
    Year of Publishing2010
Number of the records: 1  

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