Intertwining symmetry algebras of quantum superintegrable systems on the hyperboloid
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, cilt.41, sa.25, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 41 Sayı: 25
- Basım Tarihi: 2008
- Doi Numarası: 10.1088/1751-8113/41/25/255201
- Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- 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 them. It is shown that such intertwining operators close a su(2, 1) Lie algebra and determine the Hamiltonians through the Casimir operators. By means of discrete symmetries a broader set of operators is obtained closing a so(4, 2) algebra. The physical states corresponding to the discrete spectrum of bound states as well as the degeneration are characterized in terms of unitary representations of su(2, 1) and so(4, 2).