Schrödinger Operators with Delta-Potentials on Unbounded Lipschitz Surfaces
Offered By: Erwin Schrödinger International Institute for Mathematics and Physics (ESI) via YouTube
Course Description
Overview
Explore Schrödinger operators with delta-potentials on unbounded Lipschitz surfaces in this 27-minute conference talk by Peter Schlosser. Delve into the self-adjoint Schrödinger operator Aα in L2(R^d) with a δ-potential supported on a Lipschitz hypersurface Σ. Learn about the uniqueness of the ground state and the determination of the essential spectrum under specific conditions. Examine the special case of a hyperplane Σ, where a Birman-Schwinger principle with a relativistic Schrödinger operator is obtained. Discover an optimization result for the bottom of the spectrum of Aα as an application. The talk covers the formal operator, its properties, essential spectrum, and proofs, providing a comprehensive overview of this advanced mathematical topic in spectral theory.
Syllabus
Intro
Formal operator
Properties
Essential Spectrum
Application
Applications
Proof
Taught by
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
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