Higher-order superintegrable systems separating in polar coordinates
32nd International Colloquium on Group Theoretical Methods in Physics (ICGTMP Group), Prague, Çek Cumhuriyeti, 9 - 13 Temmuz 2018, cilt.1194, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 1194
- Doi Numarası: 10.1088/1742-6596/1194/1/012118
- Basıldığı Şehir: Prague
- Basıldığı Ülke: Çek Cumhuriyeti
- Hacettepe Üniversitesi Adresli: Evet
Özet
Classical and Quantum mechanical superintegrable systems that are separating in polar coordinates are analyzed. The motion is restricted to a Euclidean plane E-2 and the additional integral is assumed to be a polynomial of degree N >= 3 in momenta. Cases N = 3, 4 and 5 are investigated in detail. This leads to a general and unified description of higher-order superintegrability in the case of potentials allowing separation in polar coordinates.