CPT-conserving hamiltonians and their nonlinear supersymmetrization using differential charge-operators C

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F05%3A00031191" target="_blank" >RIV/61389005:_____/05:00031191 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

CPT-conserving hamiltonians and their nonlinear supersymmetrization using differential charge-operators C

Original language description

A brief overview is given of recent developments and fresh ideas at the intersection of PT- and/or CPT-symmetric quantum mechanics with supersymmetric quantum mechanics (SUSY QM). Within the framework of the resulting supersymmetric version of CPT-symmetric quantum mechanics we study the consequences of the assumption that the "charge" operator C is represented in a differential-operator form of the second or higher order. Besides the freedom allowed by the Hermiticity constraint for the operator CP, encouraging results are obtained in the second-order case. In particular, the integrability of intertwining relations proves to match the closure of our nonlinear (viz., polynomial) SUSY algebra. In a particular illustration, our form of CPT-symmetric SUSYQM leads to a new class of non-Hermitian polynomial oscillators with real spectrum which turn out to be PT-asymmetric.

Czech name

Hamiltoniány zachovávající CPT a jejich nelineární supersymetrizace pomocí diferenciálního operátoru náboje C

Czech description

Operátor C je uvažován v diferenciální formě 2. řádu. Je ukázána kompatibilita polynomiální SUSY s integrabilitou záměnných relací. Aplikováno na PT=asymetrické modely.

Type

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

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

<a href="/en/project/IAA1048302" target="_blank" >IAA1048302: Quantum teory and pseudo-Hermitian Hamiltonians</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2005

Confidentiality

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

Name of the periodical

International Journal of Modern Physics. A

ISSN

0217-751X

e-ISSN

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Volume of the periodical

20

Issue of the periodical within the volume

30

Country of publishing house

SG - SINGAPORE

Number of pages

21

Pages from-to

7107-7128

UT code for WoS article

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EID of the result in the Scopus database

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