String Theory Journal Club
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2021-01-26 (11:00) 
Jan Dereziński (KMMF)
Homogeneous Schroedinger operators and the Lie algebra sl(2,R)
Homogeneous Schroedinger 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 $SL(2,R)$. The (time-dependent) file with my presentation can be found at https://www.fuw.edu.pl/~derezins/sl2r-slides.pdf. Link: meet.google.com/gbj-tmns-err