Quantum integrable systems of the group SU (1,1)

Özet

Quantum integrable systems related with SU(1, 1) group manifold or hyperboloid $[x, x] = x^2_1 + x^2_2 - x^2_3 - x^2_4 = 1$ in spherical, hyperbolic and parabolic coordinates systems are considered. The explicit expressions for waves functions, spectra and S-matrices are given.