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Planar quantum elliptic dynamics: integrability, solvability, discrete symmetry

Mathematical Physics & Probability

Speaker: Alexander Turbiner
Location: 1147 MSB
Start time: Wed, Oct 15 2014, 4:10PM

It is shown that both 3-body elliptic, or A_2 elliptic Calogero model and BC_2 elliptic model as well as their rational- trigonometric degenerations are equivalent to gl_3 quantum top in a constant magnetic field for any coupling constants. It is described families of coupling constants for which the models admit polynomial eigenfunctions (quasi-exact-solvability).