QUANTUM INTEGRABLE SYSTEMS RELATED WITH SYMMETRICAL SPACES OF THE GROUPS U(1,2) AND SP(1,2) AND GREEN-FUNCTIONS ON THESE SPACES

VERDIEV, YA2024-06-122024-06-1219950022-2488https://doi.org/10.1063/1.531033https://hdl.handle.net/20.500.14551/25741Some quantum integrable systems related with the groups U(1,2) and Sp(1,2) are considered. The motion of particles in the potentials g(1)/sinh(2) alpha+g(2)/cosh(2) alpha and g(1)'/sin(2) theta + g(2)'/cos(2) theta is related with the free motion in symmetric spaces of these groups. The integral representations for the Green functions of a free particle on these spaces are given. (C) 1995 American Institute of Physics.en10.1063/1.531033info:eu-repo/semantics/closedAccess[No Keywords]QUANTUM INTEGRABLE SYSTEMS RELATED WITH SYMMETRICAL SPACES OF THE GROUPS U(1,2) AND SP(1,2) AND GREEN-FUNCTIONS ON THESE SPACESArticle36733203331N/AWOS:A1995RJ043000102-s2.0-21844491037Q2