Functional Analysis and Operator Theory for Quantum Physics

The Pavel Exner Anniversary Volume

Jaroslav Dittrich, Hynek Kovarík, Ari Laptev (Herausgeber)

Buch | Hardcover

597 Seiten

2017
EMS Press (Verlag)
978-3-03719-175-0 (ISBN)

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This volume is dedicated to Pavel Exner on the occasion of his 70th anniversary. It collects contributions by numerous scientists with expertise in mathematical physics and in particular in problems arising from quantum mechanics. The questions addressed in the contributions cover a large range of topics. A lot of attention was paid to differential operators with zero range interactions, which are often used as models in quantum mechanics. Several authors considered problems related to systems with mixed-dimensions such as quantum waveguides, quantum layers and quantum graphs. Eigenvalues and eigenfunctions of Laplace and Schrödinger operators are discussed too, as well as systems with adiabatic time evolution. Although most of the problems treated in the book have a quantum mechanical background, some contributions deal with issues which go well beyond this framework; for example the Cayley–Hamilton theorem, approximation formulae for contraction semigroups or factorization of analytic operator-valued Fredholm functions. As for the mathematical tools involved, the book provides a wide variety of techniques from functional analysis and operator theory.
Altogether the volume presents a collection of research papers which will be of interest to any active scientist working in one of the above mentioned fields.

Erscheinungsdatum	03.05.2017
Reihe/Serie	EMS Series of Congress Reports
Sprache	englisch
Maße	170 x 240 mm
Einbandart	gebunden
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
Schlagworte	adiabatic theorem • Cayley–Hamilton theorem • eigenvalue estimates • metric graphs • operator-valued functions • point interactions • Quantum Waveguides • Schrödinger Operators
ISBN-10	3-03719-175-9 / 3037191759
ISBN-13	978-3-03719-175-0 / 9783037191750
Zustand	Neuware