PT-Symmetry in (Generalized) Effect Algebras

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F11%3A00055101" target="_blank" >RIV/00216224:14310/11:00055101 - isvavai.cz</a>

Result on the web

<a href="http://www.springerlink.com/content/88684020j5t72x12/" target="_blank" >http://www.springerlink.com/content/88684020j5t72x12/</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10773-010-0594-9" target="_blank" >10.1007/s10773-010-0594-9</a>

Result language

angličtina

Original language name

PT-Symmetry in (Generalized) Effect Algebras

Original language description

We show that an eta (+)-pseudo-Hermitian operator for some metric operator eta (+) of a quantum system described by a Hilbert space H yields an isomorphism between the partially ordered commutative group of linear maps on H and the partially ordered commutative group of linear maps on H(p+). The same applies to the generalized effect algebras of positive operators and to the effect algebras of c-bounded positive operators on the respective Hilbert spaces H and H(p+). Hence, from the standpoint of (generalized) effect algebra theory both representations of our quantum system coincide.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2011

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

International Journal of Theoretical Physics

ISSN

0020-7748

e-ISSN

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Volume of the periodical

50

Issue of the periodical within the volume

4

Country of publishing house

US - UNITED STATES

Number of pages

8

Pages from-to

1198-1205

UT code for WoS article

000288261200028

EID of the result in the Scopus database

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