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

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    • Keywords


      Pseudo-Hermiticity; antilinear symmetry; 𝐽-self-adjoint operators.

    • Abstract


      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.

    • Author Affiliations


      Petr Siegl1 2 3

      1. Faculty of Nuclear Sciences and Physical Engineering, Prague, Czech Republic
      2. Department of Theoretical Physics, Nuclear Physics Institute, Academy of Sciences, Řeže, Czech Republic
      3. Laboratoire Astroparticule et Cosmologie, Universit ́e Paris 7, Paris, France
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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