Tosio Kato's Work on Non--Relativistic Quantum Mechanics
Mathematical Physics
2017-11-03 v1 History and Overview
math.MP
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 include analytic and asymptotic eigenvalue perturbation theory, Temple--Kato inequality, self--adjointness results, quadratic forms including monotone convergence theorems, absence of embedded eigenvalues, trace class scattering, Kato smoothness, the quantum adiabatic theorem and Kato's ultimate Trotter Product Formula.
Keywords
Cite
@article{arxiv.1711.00528,
title = {Tosio Kato's Work on Non--Relativistic Quantum Mechanics},
author = {Barry Simon},
journal= {arXiv preprint arXiv:1711.00528},
year = {2017}
}
Comments
This is intended for Bull. Math. Sci. which intends to split it in two parts