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© 2009

Intermediate Spectral Theory and Quantum Dynamics

Book

Part of the Progress in Mathematical Physics book series (PMP, volume 54)

Table of contents

About this book

Keywords

Potential Quantum Dynamics Quantum return probability Schrödinger Operators Spectral Theory mathematical physics mechanics quantum mechanics self-adjoint operators spectral decomposition

Authors and affiliations

  1. 1.Department of MathematicsFederal University of São Carlos (UFSCar)Brazil

Bibliographic information

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Reviews

From the reviews:

“The aim of Intermediate Spectral Theory and Quantum Dynamics is to provide advanced undergraduate and graduate students with this understanding of the mathematical intricacies of non-relativistic quantum mechanics of a single particle. … a concise introduction to the spectral theory of unbounded operators … . ends with a comprehensive bibliography which contains references to the original literature and further reading and an extensive index of the material presented. … I have found this book an interesting read which I will consult in future … .” (Jörg Bernhard Götte, Contemporary Physics, Vol. 52 (3), May-June, 2011)

“The book gives an introduction to spectral theory on the graduate or advanced undergraduate level. … The variety of topics is remarkably large for a book at the textbook level, and also some recent results are included. … In conclusion, Intermediate spectral theory and quantum dynamics is a mostly complete and very readable introduction to this classical area of mathematics. Students will surely appreciate the many examples and exercises.” (Rupert L. Frank, Mathematical Reviews, Issue 2011 m)