Počet záznamů: 1

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

  1. 1.
    0338819 - UJF-V 2010 RIV IN eng J - Článek v odborném periodiku
    Siegl, Petr
    The non-equivalence of pseudo-Hermiticity and presence of antilinear symmetry.
    Pramana: journal of physics. Roč. 73, 2 SI (2009), s. 279-286 ISSN 0304-4289.
    [8th Conference on Non-Hermitian Hamiltonians in Quantum Physics. Mumbai, 13.01.2009-16.01.2009]
    Grant CEP: GA MŠk(CZ) LC06002; GA ČR(CZ) GA202/07/1307
    Výzkumný záměr: CEZ:AV0Z10480505
    Klíčová slova: Pseudo-Hermiticity * antilinear symmetry * J-self-adjoint operator
    Kód oboru RIV: BE - Teoretická fyzika
    Impakt faktor: 0.349, rok: 2009

    The 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.
    Trvalý link: http://hdl.handle.net/11104/0182492