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

Barry Simon

Type: Article

Publication Date: 2019-04-01

Citations: 11

DOI: https://doi.org/10.1142/s166436071950005x

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.

Locations

Bulletin of Mathematical Sciences - View - PDF
DOAJ (DOAJ: Directory of Open Access Journals) - View
CaltechAUTHORS (California Institute of Technology) - View - PDF

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Works Cited by This (363)

Action	Title	Year	Authors
+	Second Look at the Essential Selfadjointness of the Schrodinger Operators	1974	Tosio Kato
+	Linear Adiabatic Theory: Exponential Estimates and Applications	1996	G. Nenciu
+	Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: Some optimal results	1998	Michael Christ Alexander Kiselev
+	Lectures on Hyponormal Operators	1989	Mircea Martin Mihai Putinar
+	Scattering Theory of Classical and Quantum N-Particle Systems	1997	Jan Dereziński Christian Gérard
+	Semigroups of Linear Operators and Applications to Partial Differential Equations	1983	A. Pazy
+ PDF Chat	Operators with singular continuous spectrum, VI. Graph Laplacians and Laplace-Beltrami operators	1996	Barry Simon
+	A λφ2n field theory without cutoffs	1970	Lon Rosen
+ PDF Chat	A New, Rearrangement-free Proof of the Sharp Hardy–Littlewood–Sobolev Inequality	2011	Rupert L. Frank Élliott H. Lieb
+	The mathematical theory of resonances whose widths are exponentially small	1980	Evans M. Harrell Barry Simon