Spiked potentials and quantum toboggans
Result description
Even if the motion of a quantum (quasi-)particle proceeds along a left-right-symmetric (PT-symmetric) curved path C not equal R in complex plane C, the spectrum of bound states may remain physical (i.e., real and bounded below). A generalization is outlined. First, we show how the topologically less trivial (tobogganic) contours C may be allowed to live on several sheets of a Riemann surface. Second, the specification of a scattering regime is formulated for such a class of models.
Keywords
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
Spiked potentials and quantum toboggans
Original language description
Even if the motion of a quantum (quasi-)particle proceeds along a left-right-symmetric (PT-symmetric) curved path C not equal R in complex plane C, the spectrum of bound states may remain physical (i.e., real and bounded below). A generalization is outlined. First, we show how the topologically less trivial (tobogganic) contours C may be allowed to live on several sheets of a Riemann surface. Second, the specification of a scattering regime is formulated for such a class of models.
Czech name
Potenciály se špičkou a kvantové tobogány
Czech description
Je známo že vázané stavy mohou existovat i pro částici pohybující se po křivce v komplexní rovivě.V práci je navrženo zobecnění takového modelu na pohyb po křivkách po složitějších Riemannových plochách.Rovněž pak je protakové modely zobecněna a zformulována rozptylová úloha.
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
LC06002: Doppler Institute for Mathematical Physics and Applied Mathematics
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2006
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 General Physics
ISSN
0305-4470
e-ISSN
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Volume of the periodical
39
Issue of the periodical within the volume
42
Country of publishing house
GB - UNITED KINGDOM
Number of pages
12
Pages from-to
13325-13336
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
2006