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Scattering in the PT-symmetric Coulomb potential

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F09%3A00329438" target="_blank" >RIV/61389005:_____/09:00329438 - isvavai.cz</a>

  • Alternative codes found

    RIV/68407700:21340/09:00159964

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Scattering in the PT-symmetric Coulomb potential

  • Original language description

    Scattering on the PT -symmetric Coulomb potential is studied along a U-shaped trajectory circumventing the origin in the complex x plane from below. This trajectory reflects PT symmetry, sets the appropriate boundary conditions for bound states and alsoallows the restoration of the correct sign of the energy eigenvalues. Scattering states are composed from the two linearly independent solutions valid for non-integer values of the 2L parameter, which would correspond to the angular momentum in the usualHermitian setting. The transmission and reflection coefficients are written in a closed analytic form, and it is shown that, similar to other PT -symmetric scattering systems, the latter exhibit the handedness effect. Bound-state energies are recoveredfrom the poles of the transmission coefficients

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • 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)

Others

  • Publication year

    2009

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Physics A-Mathematical and Theoretical

  • ISSN

    1751-8113

  • e-ISSN

  • Volume of the periodical

    42

  • Issue of the periodical within the volume

    29

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    9

  • Pages from-to

  • UT code for WoS article

    000267769800006

  • EID of the result in the Scopus database