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The non-equivalence of pseudo-Hermiticity and presence of antilinear symmetry
- 1.0338819 - ÚJF 2010 RIV IN eng J - Journal Article
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. E-ISSN 0973-7111.
[8th Conference on Non-Hermitian Hamiltonians in Quantum Physics. Mumbai, 13.01.2009-16.01.2009]
R&D Projects: GA MŠMT(CZ) LC06002; GA ČR(CZ) GA202/07/1307
Institutional research plan: CEZ:AV0Z10480505
Keywords : Pseudo-Hermiticity * antilinear symmetry * J-self-adjoint operator
Subject RIV: BE - Theoretical Physics
Impact factor: 0.349, year: 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.
Permanent Link: http://hdl.handle.net/11104/0182492
Number of the records: 1