Scattering theory using smeared non-Hermitian potentials

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

Scattering theory using smeared non-Hermitian potentials

Original language description

Local non-Hermitian potentials V(x)not equal V-*(x) can, sometimes, generate stable bound states Sigma(x) at real energies. Unfortunately, the idea [based on the use of a non-Dirac ad hoc metric Theta(x,x('))not equal delta(x-x(')) in Hilbert space] cannot directly be transferred to scattering due to the related loss of the asymptotic observability of x [cf. H. F. Jones, Phys. Rev. D 78, 065032 (2008)]. We argue that for smeared (typically, nonlocal or momentum-dependent) potentials V not equal V-daggerthis difficulty may be circumvented. A return to the usual (i.e., causal and unitary) quantum scattering scenario is then illustrated via an exactly solvable multiple-scattering example. In it, the anomalous loss of observability of the coordinate remains restricted to a small vicinity of the scattering centers.

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

Physical Review D: Particles, Fields, Gravitation and Cosmology

ISSN

1550-7998

e-ISSN

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Volume of the periodical

80

Issue of the periodical within the volume

4

Country of publishing house

US - UNITED STATES

Number of pages

12

Pages from-to

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UT code for WoS article

000269641400092

EID of the result in the Scopus database

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