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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2023 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2023
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211918 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The ₂ Harmonic Oscillator with Reflections and Superintegrability. Charles F. Dunkl. SIGMA 19 (2023), 025, 18 pages |