The ₂ Harmonic Oscillator with Reflections and Superintegrability

The two-dimensional quantum harmonic oscillator is modified with reflection terms associated with the action of the Coxeter group ₂, which is the symmetry group of the square. The angular momentum operator is also modified with reflections. The wavefunctions are known to be built up from Jacobi and...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2023
1. Verfasser: Dunkl, Charles F.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2023
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/211918
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:The ₂ Harmonic Oscillator with Reflections and Superintegrability. Charles F. Dunkl. SIGMA 19 (2023), 025, 18 pages

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