$BC_{1,2}$ Elliptic systems and $BC_{1,2}$ Lame polynomials

Alexander Turbiner (Instituto de Ciencias Nucleares, UNAM)

Monday 29th April, 2013 15:00-16:00 Maths 416

Abstract

One-two dimensional quantum systems with elliptic potentials having
$BC_{1,2}$ Weyl symmetry are considered. It is shown that they
possess hidden algebra $gl(2,3)$, respectively, and have a finite number
of polynomial eigenfunctions.

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