Complete set of inner products for a discrete PT-symmetric square-well Hamiltonian

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F09%3A00336848" target="_blank" >RIV/61389005:_____/09:00336848 - 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

Complete set of inner products for a discrete PT-symmetric square-well Hamiltonian

Original language description

A discrete N-point Runge-Kutta version H-(N)(lambda) of one of the simplest non-Hermitian square-well Hamiltonians with real spectrum is studied. Its possible Hermitizations mediated by nontrivial (often called "non-Dirac") metrics Theta not equal I areconsidered as a source of nonequivalent standard probabilistic interpretations of this quantum model. A complete set of these alternative, multiparametric metrics Theta=Theta((N))((a,b,...))(lambda) defining all the eligible Hamiltonian-dependent representations of the physical Hilbert space of states is constructed, in closed form, for any coupling lambda is an element of(-1,1) and for any matrix dimension N.

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

BE - Theoretical physics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

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

Name of the periodical

Journal of Mathematical Physics

ISSN

0022-2488

e-ISSN

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Volume of the periodical

50

Issue of the periodical within the volume

12

Country of publishing house

US - UNITED STATES

Number of pages

19

Pages from-to

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UT code for WoS article

000273223900006

EID of the result in the Scopus database

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