SEMINARIUM

TEORIA DWOISTOŚCI

KATEDRY METOD MATEMATYCZNYCH FIZYKI



W dniu 19. stycznia 2017 r. o godzinie 10:15

Jan Dereziński (KMMF WFUW)

wygłosi wykład pt.

"Almost homogeneous Schrödinger operators"

Streszczenie
First, I will describe a certain natural holomorphic family of closed operators with interesting spectral properties. These operators can be fully analyzed using just trigonometric functions.

Then, I will discuss 1-dimensional Schrödinger operators with a x-2 potential with general boundary conditions, which I studied recently with S. Richard. Even though their description involves Bessel and Gamma functions, they turn out to be equivalent to the previous family.

Some operators that I will describe are homogeneous — they get multiplied by a constant after a change of the scale. In general, their homogeneity is weakly broken — scaling induces a simple but nontrivial flow in the parameter space. One can say (with some exaggeration) that they can be viewed as "toy models of the renormalization group".

Seminarium odbywa się w czwartki w godzinach 10:15–12:00 w sali 2.23 w głównym budynku Wydziału Fizyki UW przy ul. Pasteura 5 (II p.) w Warszawie.
Dodatkowe informacje są zamieszczane na stronie http://oldwww.fuw.edu.pl/KMMF/sem.czw.przedp.html.