Cryptohermitian Picture of Scattering Using Quasilocal Metric Operators

Result code in IS VaVaI

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Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Cryptohermitian Picture of Scattering Using Quasilocal Metric Operators

Original language description

One-dimensional unitary scattering controlled by non-Hermitian (typically, PT-symmetric) quantum Hamiltonians H not equal H-dagger is considered. Treating these operators via Runge-Kutta approximation, our three-Hilbert-space formulation of quantum theory is reviewed as explaining the unitarity of scattering. Our recent paper on bound states [Znojil M., SIGMA 5 (2009), 001, 19 pages, arXiv: 0901.0700] is complemented by the text on scattering. An elementary example illustrates the feasibility of the resulting innovative theoretical recipe. A new family of the so called quasilocal inner products in Hilbert space is found to exist. Constructively, these products are all described in terms of certain non-equivalent short-range metric operators Theta not equal I represented, in Runge-Kutta approximation, by (2R-1)-diagonal matrices.

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

Symmetry, Integrability and Geometry: Methods and Applications

ISSN

1815-0659

e-ISSN

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Volume of the periodical

5

Issue of the periodical within the volume

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Country of publishing house

UA - UKRAINE

Number of pages

21

Pages from-to

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UT code for WoS article

000271092200021

EID of the result in the Scopus database

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