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# đź“™ Functional Analysis and Operator Theory for Quantum Physics. The Pavel Exner Anniversary Volume by Jaroslav Dittrich, Hynek Kovarik, Ari Laptev (eds.) â€” epub download

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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 SchrĂ¶dinger 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 Cayleyâ€“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.
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Keywords: SchrĂ¶dinger operators, point interactions, metric graphs, quantum waveguides, eigenvalue estimates, operator-valued functions, Cayleyâ€“Hamilton theorem, adiabatic theorem

## About book:

## About file:

Security code:

- Series:
**EMS Series of Congress Reports** - Author:
**Jaroslav Dittrich, Hynek Kovarik, Ari Laptev (eds.)** - Year:
**2017** - Publisher:
**European Mathematical Society** - Language:
**English** - ISBN:
**3037191759,9783037191750**

- File size:
**7 741 833** - Format:
**pdf**

Security code:

This book presents a collection of papers on certain aspects of general operator theory related to classes of important operators: singular integral, Toeplitz and Bergman operators, convolution operators on Lie groups, pseudodifferential operators, etc. T...

This course-tested book explains in detail the theory of linear Hilbert-space operators and their use in quantum physics. The central mathematical tool of the book is the spectral theory of self-adjoint operators; in order to make the exposition self-cont...

This course-tested book explains in detail the theory of linear Hilbert-space operators and their use in quantum physics. The central mathematical tool of the book is the spectral theory of self-adjoint operators; in order to make the exposition self-cont...

Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related p...

Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related p...

This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occ...

This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and co...

This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occ...

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This cookery book contains original recipes from the Pennsylvania Dutch people and their many home lands. A wonderful collection of many tasty dishes that have been handed down from mother to daughter for generations. Their cooking was truly a folk art re...

Anthropolgy and Archaeology provides a valuable and much-needed introduction to the theories and methods of these two inter-related subjects. This volume covers the historical relationship and contemporary interests of archaeology and anthropology. It tak...

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Teresa Rhyne vowed to get it right this time around: new boyfriend, new house, new dog, maybe even new job. But shortly after she adopted Seamus, a totally incorrigible beagle, vets told Teresa that he had a malignant tumor and less than a year to li...

Everyone is crunched for time these days, and on a tight budget as well. When we are always so short of time and money, how can we ever feed our families well? Convenience foods and takeout all cost far more than cooking at home. They are certainly NOT as...

With a little bit of history and a lot of flavor, The Cocktail Club is a guide for connecting with your friends over the best-tasting therapy aroundâ€”cocktails! Using a format reminiscent of your favorite book club, Maureen Christian Petrosky highlights on...

Do you want to dump your dog because he tries to escape your yard? Barks too much? You-know-whats in the house? Doesnâ€™t play well with others? Chewed up your favorite pair of shoes? You wouldnâ€™t be the first person asking to â€śreturnâ€ť your pet. And dog res...

This "best of" collection of works by Raymond Smullyan features excerpts from his published writings, including logic puzzles, explorations of mathematical logic and paradoxes, retrograde analysis chess problems, jokes and anecdotes, and meditations on th...