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.
Original language | English |
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Pages (from-to) | 279-286 |
Number of pages | 8 |
Journal | Pramana - Journal of Physics |
Volume | 73 |
Issue number | 2 |
DOIs | |
Publication status | Published - 01 Aug 2009 |
Externally published | Yes |
Keywords
- Antilinear symmetry
- J-self-adjoint operators
- Pseudo-Hermiticity
ASJC Scopus subject areas
- General Physics and Astronomy