The spectral theory of SchrAdinger 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
SchrAdinger 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 the earlier chapters with
examples of localization and delocalization in the theory of
disordered systems
* Presents 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 SchrAdinger
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 in its contribution to works in spectral theory.
General
| Imprint: |
Birkhauser Boston
|
| Country of origin: |
United States |
| Series: |
Progress in Mathematical Physics, 44 |
| Release date: |
July 2005 |
| First published: |
2005 |
| Authors: |
Michael Demuth
• M. Krishna
|
| Dimensions: |
235 x 155 x 14mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
219 |
| Edition: |
2005 ed. |
| ISBN-13: |
978-0-8176-4366-9 |
| Categories: |
Books >
Science & Mathematics >
Physics >
General
|
| LSN: |
0-8176-4366-4 |
| Barcode: |
9780817643669 |
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