Determining spectra in quantum theory
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The work Determining spectra in quantum theory represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Determining spectra in quantum theory
Resource Information
The work Determining spectra in quantum theory represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Determining spectra in quantum theory
 Statement of responsibility
 Michael Demuth, M. Krishna
 Subject

 Operator theory
 Operator theory
 Potential theory (Mathematics)
 Potential theory (Mathematics)
 Potential theory (Mathematics)
 Scattering (Mathematics)
 Scattering (Mathematics)
 Scattering (Mathematics)
 Spectral theory (Mathematics)
 Spectral theory (Mathematics)
 Spectral theory (Mathematics)
 Operator theory
 Language
 eng
 Summary
 Annotation
 Cataloging source
 GW5XE
 Dewey number
 515/.7222
 Index
 index present
 LC call number
 QA404.7
 LC item number
 .D46 2005eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Progress in mathematical physics
 Series volume
 v. 44
 Summary expansion
 The spectral theory of Schrvdinger operators, in particular those with random potentials, continues to be a very active field of research. This work focuses on various known criteria in the spectral theory of selfadjoint operators in order to identify the spectrum and its components a la Lebesgue decomposition. Key features and topics: * Welldeveloped exposition of criteria that are especially useful in determining the spectra of deterministic and random Schrvdinger operators occurring in quantum theory * Systematically uses measures and their transforms (Fourier, Borel, wavelet) to present a unifying theme * Establishes criteria for identifying the spectrum * Examines a series of applications to show point spectrum and continuous spectrum in some models of random operators * Presents a series of spectraltheoretic results for the perturbed operators introduced in earlier chapters with examples of localization and delocalization in the theory of disordered systems * Present modern criteria (using wavelet transform, eigenfunction decay) that could be used to do spectral theory * Unique work in book form combining the presentation of the deterministic and random cases, which will serve as a platform for further research activities This concise unified presentation is aimed at graduate students and researchers working in the spectral theory of Schrvdinger operators with either fixed or random potentials in particular. However, given the large gap that this book fills in the literature, it will serve a wider audience of mathematical physicists because of its contribution to works in spectral theory
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