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The Resource Determining spectra in quantum theory, Michael Demuth, M. Krishna

Determining spectra in quantum theory, Michael Demuth, M. Krishna

Label
Determining spectra in quantum theory
Title
Determining spectra in quantum theory
Statement of responsibility
Michael Demuth, M. Krishna
Creator
Contributor
Subject
Language
eng
Summary
Annotation
Member of
Is part of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1946-
http://library.link/vocab/creatorName
Demuth, Michael
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
http://library.link/vocab/relatedWorkOrContributorName
Krishna, M.
Series statement
Progress in mathematical physics
Series volume
v. 44
http://library.link/vocab/subjectName
  • Potential theory (Mathematics)
  • Scattering (Mathematics)
  • Spectral theory (Mathematics)
  • Operator theory
  • Operator theory
  • Potential theory (Mathematics)
  • Scattering (Mathematics)
  • Spectral theory (Mathematics)
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: * Well-developed 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 spectral-theoretic 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
Label
Determining spectra in quantum theory, Michael Demuth, M. Krishna
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 203-213) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Measures and Transforms; Selfadjointness and Spectrum; Criteria for Identifying the Spectrum; Operators of Interest; Applications
Control code
209836512
Dimensions
unknown
Extent
1 online resource (x, 219 pages).
Form of item
online
Isbn
9786610619375
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/0-8176-4439-3
http://library.link/vocab/ext/overdrive/overdriveId
978-0-8176-4366-9
Specific material designation
remote
System control number
(OCoLC)209836512
Label
Determining spectra in quantum theory, Michael Demuth, M. Krishna
Publication
Bibliography note
Includes bibliographical references (pages 203-213) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Measures and Transforms; Selfadjointness and Spectrum; Criteria for Identifying the Spectrum; Operators of Interest; Applications
Control code
209836512
Dimensions
unknown
Extent
1 online resource (x, 219 pages).
Form of item
online
Isbn
9786610619375
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/0-8176-4439-3
http://library.link/vocab/ext/overdrive/overdriveId
978-0-8176-4366-9
Specific material designation
remote
System control number
(OCoLC)209836512

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