# Homogeneous Schrödinger operators and the Lie algebra $\mathrm{sl}(2,\mathbb{R})$

Jan Derezinski (University of Warsaw)
Tuesday 3 November 2020 16:15 Zoom
Mathematics Seminar

Homogeneous Schrödinger operators, called also Bessel operators are given by $H_m=-\partial_x^2+(-\frac14+m^2)\frac{1}{x^{2}},$ with the boundary condition $\sim x^{m+\frac12}$ near $0$. I will discuss their role in representations of the smallest semi-simple non-compact Lie group $\mathrm{SL}(2,\mathbb{R})$.