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."> 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."> Fundamental length in quantum theories with PT-symmetric Hamiltonians
Number of the records: 1  

Fundamental length in quantum theories with PT-symmetric Hamiltonians

    1.
    SYSNO ASEP0333963
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleFundamental length in quantum theories with PT-symmetric Hamiltonians
    TitleFundamentální délka v kvantových teoriích s PT-symetrickými Hamiltoniany
    Author(s) Znojil, Miloslav (UJF-V) RID, ORCID, SAI
    Source TitlePhysical Review D: Particles, Fields, Gravitation and Cosmology. - : American Physical Society - ISSN 1550-7998
    Roč. 80, č. 4 (2009), 045022/1-045022/20
    Number of pages20 s.
    Languageeng - English
    CountryUS - United States
    Keywordsnon-Hermitian Hamiltonians ; anharmonic-oscillators ; noncommutative space
    Subject RIVBE - Theoretical Physics
    R&D ProjectsLC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
    GA202/07/1307 GA ČR - Czech Science Foundation (CSF)
    CEZAV0Z10480505 - UJF-V (2005-2011)
    UT WOS000269641400105
    DOI10.1103/PhysRevD.80.045022
    AnnotationOne-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.
    WorkplaceNuclear Physics Institute
    ContactMarkéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
    Year of Publishing2010
Number of the records: 1  

  This site uses cookies to make them easier to browse. Learn more about how we use cookies.

Accept allSettingsReject all