Notes for a mini course held in Hamburg 3-4 Apr 2017 on some mathematical details of the Schrödinger equation.

Contents:

• Why Hilbert space?
• Why self-adjoint operators?
• The spectrum of operators
• The abstract Cauchy problem in Banach space
• Stone's theorem
• Classes of static potentials
• Time-dependent potentials
• Regularity of Schrödinger solutions and functional differentiability

Author: Markus Penz (2017) m.penz@inter.at