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Experiments in PT-symmetric quantum mechanics

Result description

Extended quantum mechanics using non-Hermitian (pseudo-Hermitian) Hamiltonians H = H-double dagger is briefly reviewed. A few related mathematical experiments concerning supersymmetric regularizations, solvable simulations and large-N expansion techniques are summarized. We suggest that they could initiate a deeper study of nonlocalized structures (quasi-particles) and/or of their unstable and many-particle generalizations. Using the Klein-Gordon example for illustration, we show how the PT symmetry ofits Feshbach-Villars Hamiltonian H-(FV) might clarify experimental aspects of relativistic quantum mechanics.

Keywords

quantum mechanicsrelativistic kinematicsnon-Hermitian observables

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Experiments in PT-symmetric quantum mechanics

  • Original language description

    Extended quantum mechanics using non-Hermitian (pseudo-Hermitian) Hamiltonians H = H-double dagger is briefly reviewed. A few related mathematical experiments concerning supersymmetric regularizations, solvable simulations and large-N expansion techniques are summarized. We suggest that they could initiate a deeper study of nonlocalized structures (quasi-particles) and/or of their unstable and many-particle generalizations. Using the Klein-Gordon example for illustration, we show how the PT symmetry ofits Feshbach-Villars Hamiltonian H-(FV) might clarify experimental aspects of relativistic quantum mechanics.

  • Czech name

    Experimenty v PT-symetrické kvantové mechanice

  • Czech description

    Po krátkém přehledu rozšířené kvantové mechaniky s pseudo-hermitovskými hamiltoniány je shrnuto několik matematických experimentů, týkajících se supersymetrických regularizací, řešitelných simulací a rozvojů velkých N.

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

Others

  • Publication year

    2004

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Czechoslovak Journal of Physics

  • ISSN

    0011-4626

  • e-ISSN

  • Volume of the periodical

    54

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    6

  • Pages from-to

    151-156

  • UT code for WoS article

  • EID of the result in the Scopus database

Basic information

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BE - Theoretical physics

Year of implementation

2004