Intertwining algebras of quantum superintegrable systems on the hyperboloid
5th International Symposium on Quantum Theory and Symmetries, Valladolid, İspanya, 22 - 28 Temmuz 2007, cilt.128, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 128
- Doi Numarası: 10.1088/1742-6596/128/1/012026
- Basıldığı Şehir: Valladolid
- Basıldığı Ülke: İspanya
- Ankara Üniversitesi Adresli: Evet
Özet
A class of quantum superintegrable Hamiltonians defined on a two-dimensional hyperboloid is considered together with a set of intertwining operators connecting all of them. It is shown that such intertwining operators close a su(2,1) Lie algebra and determine the Hamiltonians through the Casimir operators. The physical states are characterized as unitary representations of su(2, 1).