Overview
- A detailed discussion on the quantum dynamics consequences of point, absolutely continuous and singular continuous spectra, some of them have not appeared in book form yet
- Discussions on boundary triples, “fractal” alpha-Hölder spectral measures and the Wonderland theorem are also interesting novelties
- No knowledge of quantum mechanics is supposed. The needed quantum concepts are introduced when appropriate in the text and rigorously approached
- The large number of worked examples that illustrate the developed theory, some based on rather recent published papers in the mathematical and physical literature, is also an appealing factor
- Includes supplementary material: sn.pub/extras
Part of the book series: Progress in Mathematical Physics (PMP, volume 54)
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Table of contents (15 chapters)
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Front Matter
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Back Matter
Keywords
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)
Authors and Affiliations
Bibliographic Information
Book Title: Intermediate Spectral Theory and Quantum Dynamics
Authors: César R. Oliveira
Series Title: Progress in Mathematical Physics
DOI: https://doi.org/10.1007/978-3-7643-8795-2
Publisher: Birkhäuser Basel
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Birkhäuser Basel 2009
Hardcover ISBN: 978-3-7643-8794-5Published: 18 November 2008
eBook ISBN: 978-3-7643-8795-2Published: 30 December 2008
Series ISSN: 1544-9998
Series E-ISSN: 2197-1846
Edition Number: 1
Number of Pages: XIII, 410
Topics: Quantum Physics, Mathematical Methods in Physics, Physics, general