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.
|Number of pages||8|
|Journal||Pramana - Journal of Physics|
|Publication status||Published - Aug 2009|
- Antilinear symmetry
- J-self-adjoint operators
ASJC Scopus subject areas
- Physics and Astronomy(all)