Exact Results in Quantum Theory

The Bessel operator, that is, the Schroedinger operator on the half-line with a potential proportional to 1/x^2, has been extensively studied in the momentum representation. It has been noticed that it can be used as an illustration of K. Wilson's approach to renormalization.I will explain the mathematics that underlies the Wilsonian renormalization applied to inverse-square potentials. I will discuss how to make the momentum approach rigorous, including all its tools such as cut-offs and counterterms, and how it relates to the self-adjoint realizations of the operator in the position space.
Link: zoom.us (Meeting ID: 861 0663 2208, Passcode: 673023)