Factorized Hilbert-space metrics and non-commutative quasi-Hermitian observables

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F22%3A00560433" target="_blank" >RIV/61389005:_____/22:00560433 - isvavai.cz</a>

Alternative codes found

RIV/62690094:18470/22:50019630

Result on the web

<a href="https://doi.org/10.1209/0295-5075/ac7e69" target="_blank" >https://doi.org/10.1209/0295-5075/ac7e69</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1209/0295-5075/ac7e69" target="_blank" >10.1209/0295-5075/ac7e69</a>

Result language

angličtina

Original language name

Factorized Hilbert-space metrics and non-commutative quasi-Hermitian observables

Original language description

In 1992, Scholtz et ad. (Ann. Phys., 213 (1992) 74) showed that a set of non-Hermitian operators can represent observables of a closed unitary quantum system, provided only that its elements are quasi-Hermitian (i.e., roughly speaking, Hermitian with respect to an ad hoc inner-product metric). We show that such a version of quantum mechanics admits a simultaneous closed-form representation of the metric Theta(N) and of the observables Lambda(k), k = 0, 1, ..., N + 1 in terms of auxiliary operators Z(k) with k = 0, 1, ..., N. At N = 2 the formalism degenerates to the well-known PT-symmetric quantum mechanics using factorized metric Theta(2) Z(2)Z(1), where Z(2) = P is parity and where Z(1) = C is charge.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2022

Confidentiality

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

Name of the periodical

EPL

ISSN

0295-5075

e-ISSN

1286-4854

Volume of the periodical

139

Issue of the periodical within the volume

3

Country of publishing house

GB - UNITED KINGDOM

Number of pages

6

Pages from-to

32001

UT code for WoS article

000843229800001

EID of the result in the Scopus database

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