Progress in Mathematical Physics

Intermediate Spectral Theory and Quantum Dynamics

Authors: de Oliveira, César R.

  • A detailed discussion on the quantum dynamics consequences of point, absolutely continuous and singular continuous spectra; some of these have not appeared in book form yet
  • Novel discussions on boundary triples, "fractal" alpha-Hölder spectral measures and the Wonderland theorem
  • No knowledge of quantum mechanics is supposed; the required quantum concepts are introduced when appropriate and rigorously approached
  • Large numbers of worked examples illustrate the developed theory, some based on recently published papers in the mathematical and physical literature
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Hardcover $129.00
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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)


Table of contents (15 chapters)

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-7643-8795-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-7643-8794-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Intermediate Spectral Theory and Quantum Dynamics
Authors
Series Title
Progress in Mathematical Physics
Series Volume
54
Copyright
2009
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-8795-2
DOI
10.1007/978-3-7643-8795-2
Hardcover ISBN
978-3-7643-8794-5
Series ISSN
1544-9998
Edition Number
1
Number of Pages
XIII, 410
Topics