XXXIX Workshop on Geometric Methods in Physics 27.06-3.07.2021
IX School on Geometry and Physics 21-25.06.2021

Jan Dereziński

One-dimensional Schrödinger operators with complex potentials–singular boundary conditions and exactly solvable Hamiltonians

I will start with a general theory of operators on Hilbert spaces equipped with a conjugation. Then I will discuss closed realizations of Schrödinger operators in one dimension with very general, possibly complex potentials. Next I will discuss exactly solvable Hamiltonians with potentials $1/x^2$ and $1/x$ with complex coupling constants. I will also describe basic properties of the Bessel and Whittaker functions, which are used to solve these problems.

Event sponsored by:
of Bialystok
University of Bialystok

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