Trace formulae for Schrödinger operators with singular interactions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F17%3A00477617" target="_blank" >RIV/61389005:_____/17:00477617 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4171/175" target="_blank" >http://dx.doi.org/10.4171/175</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4171/175" target="_blank" >10.4171/175</a>
Alternative languages
Result language
angličtina
Original language name
Trace formulae for Schrödinger operators with singular interactions
Original language description
Dedicated with great pleasure to our teacher, colleague and friend Pavel Exner on the occasion of his 70th birtday.nThis 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.nAltogether 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.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
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OECD FORD branch
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Result continuities
Project
<a href="/en/project/GA14-06818S" target="_blank" >GA14-06818S: Rigorous Methods in Quantum Dynamics: Geometry and Magnetic Fields</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Functional Analysis and Operator Theory for Quantum Physics
ISBN
978-3-03719-175-0
Number of pages of the result
24
Pages from-to
129-152
Number of pages of the book
597
Publisher name
European Mathematical Society
Place of publication
Zürich
UT code for WoS chapter
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