Tosio Kato’s work on non-relativistic quantum mechanics, Part 2

Abstract

We review the work of Tosio Kato on the mathematics of non-relativistic quantum mechanics and some of the research that was motivated by this. Topics in this second part include the absence of embedded eigenvalues, trace class scattering, Kato smoothness, the quantum adiabatic theorem and Kato’s ultimate Trotter Product Formula.

Keywords

• kato
• schrödinger operators
• quantum mechanics