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

Petr Siegl

doi:10.1007/s12043-009-0119-3

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

Petr Siegl^*

^*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

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.

Originalsprache	englisch
Seiten (von - bis)	279-286
Seitenumfang	8
Fachzeitschrift	Pramana - Journal of Physics
Jahrgang	73
Ausgabenummer	2
DOIs	https://doi.org/10.1007/s12043-009-0119-3
Publikationsstatus	Veröffentlicht - Aug. 2009
Extern publiziert	Ja

ASJC Scopus subject areas

Allgemeine Physik und Astronomie

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10.1007/s12043-009-0119-3

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note = "Funding Information: The author is thankful to M Znojil and D Krejˇciˇr{\'i}k for valuable discussions. This work is supported by MSˇMT {\textquoteleft}Doppler Institute{\textquoteright} Project No. LC06002 and by the GACˇ R Grant No. 202/07/1307.",

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

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ASJC Scopus subject areas

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