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Non-self-adjoint Schrödinger operators with nonlocal one-point interactions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F17%3A00486566" target="_blank" >RIV/61389005:_____/17:00486566 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1215/17358787-2017-0032" target="_blank" >http://dx.doi.org/10.1215/17358787-2017-0032</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1215/17358787-2017-0032" target="_blank" >10.1215/17358787-2017-0032</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Non-self-adjoint Schrödinger operators with nonlocal one-point interactions

  • Original language description

    We generalize and study, within the framework of quantum mechanics and working with 1-dimensional, manifestly non-Hermitian Hamiltonians H = -d(2)/dx(2) + V, the traditional class of exactly solvable models with local point interactions V = V(x). We discuss the consequences of the use of nonlocal point interactions such that (Vf) (x) = integral K(x, s) f(s) ds by means of the suitably adapted formalism of boundary triplets.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

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

Result continuities

  • Project

    <a href="/en/project/GA16-22945S" target="_blank" >GA16-22945S: Quantum Wheeler-DeWitt equation and its unitary evolution interpretation</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Banach Journal of Mathematical Analysis

  • ISSN

    1735-8787

  • e-ISSN

  • Volume of the periodical

    11

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    IR - IRAN, ISLAMIC REPUBLIC OF

  • Number of pages

    22

  • Pages from-to

    923-944

  • UT code for WoS article

    000423613200011

  • EID of the result in the Scopus database

    2-s2.0-85030639865