Quantum Circle ONLINE: Sylwia Kondej (University of Zielona Gora) - Optimization problem for quantum system with star-shaped potential
We would like to invite you to the seminar of Quantum Circle ONLINE. Through the Zoom platform will speak Sylwia Kondej (University of Zielona Gora) on Optimization problem for quantum system with star-shaped potential. The seminar takes place on Tuesday, December 1, 2020 from 2.45 pm. The Zoom link, which will allow you to participate in the seminar, can be found on the Quantum Circle website.
Abstract:
We discuss the spectral properties of singular Schroeodinger operators in three dimensions with the interaction supported by an equilateral star. Our main result concerns spectral optimization: we show that the principal eigenvalue is uniquely maximized when the arms are arranged in one of the known five sharp configurations. The results discussed in the talk are the joint work with Pavel Exner.