Functional Analysis and Operator Theory for Quantum Physics
Produktnummer:
184c20b7cfc9004eff8491600ba294df3b
Themengebiete: | Cayley–Hamilton theorem Schrödinger operators adiabatic theorem eigenvalue estimates metric graphs operator-valued functions point interactions quantum waveguides |
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Veröffentlichungsdatum: | 01.04.2017 |
EAN: | 9783037191750 |
Sprache: | Englisch |
Seitenzahl: | 597 |
Produktart: | Gebunden |
Herausgeber: | Dittrich, Jaroslav Kovarík, Hynek Laptev, Ari |
Verlag: | EMS Press |
Untertitel: | The Pavel Exner Anniversary Volume |
Produktinformationen "Functional Analysis and Operator Theory for Quantum Physics"
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.

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