Dynamical algebras of general Poschl-Teller hierarchies
7th International Conference on Quantum Theory and Symmetries (QTS), Prague, Çek Cumhuriyeti, 7 - 13 Ağustos 2011, cilt.343, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 343
- Doi Numarası: 10.1088/1742-6596/343/1/012086
- Basıldığı Şehir: Prague
- Basıldığı Ülke: Çek Cumhuriyeti
- Ankara Üniversitesi Adresli: Evet
Özet
We investigate a class of operators connecting general Hamiltonians of the Poschl-Teller type. The operators involved depend on three parameters and their explicit action on eigenfunctions is found. The whole set of intertwining operators close a su(2, 2) approximate to so(4, 2) Lie algebra. The space of eigenfunctions supports a differential-difference realization of an irreducible representation of the su(2, 2) algebra.