More on PT-Symmetry in (Generalized) Effect Algebras and Partial Groups

PASEKA, Jan and Jiří JANDA. More on PT-Symmetry in (Generalized) Effect Algebras and Partial Groups. Acta Polytechnica. Praha: CTU - Publishing House, 2011, vol. 51, No 4, p. 65-72. ISSN 1210-2709.

Basic information

Original name

More on PT-Symmetry in (Generalized) Effect Algebras and Partial Groups

Authors

PASEKA, Jan (203 Czech Republic, guarantor, belonging to the institution) and Jiří JANDA (203 Czech Republic, belonging to the institution)

Edition

Acta Polytechnica, Praha, CTU - Publishing House, 2011, 1210-2709

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Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Czech Republic

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL

RIV identification code

RIV/00216224:14310/11:00055105

Organization unit

Faculty of Science

Keywords in English

(generalized) effect algebra; partially ordered commutative group; weakly ordered partial group; Hilbert space; (unbounded) linear operators; PT -symmetry; Pseudo-Hermitian Quantum Mechanics

Tags

AKR, rivok

Tags

International impact, Reviewed

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Abstract

V originále

We continue in the direction of our paper on PT -Symmetry in (Generalized) Effect Algebras and Partial Groups. Namely we extend our considerations to the setting of weakly ordered partial groups. In this setting, any operator weakly ordered partial group is a pasting of its partially ordered commutative subgroups of linear operators with a fixed dense domain over bounded operators. Moreover, applications of our approach for generalized effect algebras are mentioned.

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Links

MSM0021622409, plan (intention)

Name: Matematické struktury a jejich fyzikální aplikace Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures and their physical applications