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Fundamental length in quantum theories with PT-symmetric Hamiltonians

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F09%3A00333963" target="_blank" >RIV/61389005:_____/09:00333963 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Fundamental length in quantum theories with PT-symmetric Hamiltonians

  • Original language description

    One-dimensional motion of a quantum point particle is usually described by its wave function Sigma(x), where the argument x is an element of R represents a (measurable) coordinate and where the integrated probability density is normalized to one, integral Sigma(*)(x)Sigma(x)=1. The direct observability of x may be lost in PT-symmetric quantum mechanics where a "smeared" metric kernel Theta(')((x,x))not equal delta(x-x(')) may enter the double-integral normalization Sigma(*)(x)Theta(')((x,x))Sigma(x('))=1. We argue that such a formalism proves particularly suitable for the introduction of a nonvanishing fundamental length theta > 0, which would characterize the "smearing width" of the kernel Theta(')((x,x)). The technical feasibility of such a project is illustrated via a toy family of Hamiltonians H-(N)(lambda) taken from Ref. 11. For each element of this family the complete set of all the eligible metric kernels Theta(')((x,x))((N))(lambda) is constructed in closed form.

  • 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

    Physical Review D: Particles, Fields, Gravitation and Cosmology

  • ISSN

    1550-7998

  • e-ISSN

  • Volume of the periodical

    80

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    20

  • Pages from-to

  • UT code for WoS article

    000269641400105

  • EID of the result in the Scopus database