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Determining Spectra in Quantum Theory (Progress in Mathematical Physics)
 
 
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Determining Spectra in Quantum Theory (Progress in Mathematical Physics) [Hardcover]

Michael Demuth (Author), M. Krishna (Author)

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Book Description

0817643664 978-0817643669 July 29, 2005 1
This work focuses on various known criteria in the spectral theory of selfadjoint operators. The concise, unified presentation is aimed at graduate students and researchers working in the spectral theory of Schrodinger operators with either fixed or random potentials. But given the large gap this book fills in the literature, it will serve a wider audience of mathematical physicists in its contribution to works in spectral theory.

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Editorial Reviews

Review

“In my opinion, the basic idea of the monograph is to help graduate students working on spectral theory and beginning researchers in the field to build a toolkit. The book definitely has more than enough material for this purpose, some of which is quite advanced, and it is very up to date. ... In conclusion, I believe that this book will prove extremely useful for its target audience (advanced graduate students with an interest in this area). Moreover, it will also very much feel at home on the bookshelf of an expert.”(MATHEMATICAL REVIEWS)

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Inside This Book (learn more)
First Sentence:
In the following we consider a positive complete Borel measure on R to be a countably additive set function u from the Borel subsets BR to R+, with the additional property that all subsets of measure zero sets are measurable. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
total spectral measure, second resolvent equation, feller potential, cyclic family, sparse potentials, singular spectra, finite complex measure, absolutely continuous spectrum, selfadjoint operator, perturbed operators, random operators, singular continuous spectrum, selfadjoint extension, cyclic subspace, trace class operator, wave operators, singular with respect, spectral theorem, cyclic vector, resolvent kernels, admissible function, absolutely continuous part, trace norm, random potentials, pure point
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Hilbert Schmidt, Reed Simon, Operators of Interest, Notes Section, Demuth van Casteren, Baumgärtel Wollenberg, Characterization of the States, Engel Nagel, Figotin Pastur, Gilbert Pearson, Pearson's Theorem
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