Quantum Integrable Systems of the Group SU(1, 1)

Authors: Mehmet SEZGİN, Yılmaz Asad VERDİYEV

Abstract: 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.


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