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
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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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
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Result continuities
Project
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Z - Vyzkumny zamer (s odkazem do CEZ)
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
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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
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EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BE - Theoretical physics
Year of implementation
2004