Hamiltonian system related to the Casimir operator of the group SO(3,2) for parabolic coordinates
5th International Conference on Analysis and Applied Mathematics, ICAAM 2020, Mersin, Türkiye, 23 - 30 Eylül 2020, cilt.2325, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 2325
- Doi Numarası: 10.1063/5.0040363
- Basıldığı Şehir: Mersin
- Basıldığı Ülke: Türkiye
- Trakya Üniversitesi Adresli: Evet
Özet
The generators of the quasi-regular representation of the group SO(3,2) are obtained for parabolic coordinates. By the generators, the expression of the quadratic Casimir operator is presented. From the relation between the Casimir operator and Hamiltonian, the corresponding physical system is expressed, and its exact solution is given.