Methods of modern mathematical physics: 4 Analysis of operators
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Acad. Press
2005
|
| Ausgabe: | [Nachdr.] |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 396 S. graph. Darst. |
| ISBN: | 0125850042 012554720X 9780125850049 |
Internformat
MARC
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| 245 | 1 | 0 | |a Methods of modern mathematical physics |n 4 |p Analysis of operators |c Michael Reed ; Barry Simon |
| 250 | |a [Nachdr.] | ||
| 264 | 1 | |a New York [u.a.] |b Acad. Press |c 2005 | |
| 300 | |a XV, 396 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804138599612940288 |
|---|---|
| adam_text | Contents
Preface
vii
Introduction
ix
Contents
of Other Volumes
xv
XII:
PERTURBATION OF POINT SPECTRA
/.
Finite-dimensional perturbation theory
1
Appendix Algebraic and geometric multiplicity of
eigenvalues of finite matrices
9
2.
Regular perturbation theory
10
3.
Asymptotic perturbation theory
25
4.
Summability methods in perturbation theory
38
5.
Spectral concentration
45
6.
Resonances and the Fermi golden rule
51
Notes
60
Problems
69
XIII:
SPECTRAL ANALYSIS
1.
The
min-max
principle
75
2.
Bound states of
Schrödinger
operators I:
Quantitative methods
79
3.
Bound states of
Schrödinger
operators II:
Qualitative theory
86
xlii
xiv CONTENTS
A. Is aáitc
(Η)
finite or infinite?
86
B.
Bounds on N{V) in the central case
90
C. Bounds on N(V) in the general two-body case
98
4.
Locating the essential spectrum
I; Weyľs
theorem
106
5.
Locating the essential spectrum III: The HVZ theorem
120
6.
The absence of singular continuous spectrum I:
General theory
136
7.
The absence of singular continuous spectrum II:
Smooth perturbations
141
A. Weakly coupled quantum systems
151
B. Positive commutators and repulsive potentials
157
C. Local smoothness and wave operators for repulsive
potentials
163
8.
The absence of singular continuous spectrum 111:
Weighted
1}
spaces
168
9.
The spectrum of tensor products
177
10.
The absence of singular continuous spectrum IV:
Dilation analytic potentials
183
11.
Properties of eigenfunctions
191
12.
Nondegeneracy of the ground state
201
Appendix
1
The Beurling-Deny criteria
209
Appendix
2
The Levy-Khintchine formula
212
13.
Absence of positive eigenvalues
222
Appendix Unique continuation theorems for
Schrôdinger
operators
239
14.
Compactness criteria and operators with
compact resolvent
244
15.
The asymptotic distribution of eigenvalues
260
16.
Schrôdinger
operators with periodic potentials
279
17.
An introduction to the spectral theory of
non-self-adjoint operators
316
Notes
338
Problems
364
List of Symbols
387
Index
389
|
| any_adam_object | 1 |
| author | Reed, Michael 1942- Simon, Barry 1946- |
| author_GND | (DE-588)121352889 (DE-588)134200195 |
| author_facet | Reed, Michael 1942- Simon, Barry 1946- |
| author_role | aut aut |
| author_sort | Reed, Michael 1942- |
| author_variant | m r mr b s bs |
| building | Verbundindex |
| bvnumber | BV035299768 |
| classification_rvk | SK 600 |
| ctrlnum | (OCoLC)634998322 (DE-599)BVBBV035299768 |
| discipline | Mathematik |
| edition | [Nachdr.] |
| format | Book |
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| id | DE-604.BV035299768 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:30:45Z |
| institution | BVB |
| isbn | 0125850042 012554720X 9780125850049 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017104654 |
| oclc_num | 634998322 |
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| physical | XV, 396 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Acad. Press |
| record_format | marc |
| spelling | Reed, Michael 1942- Verfasser (DE-588)121352889 aut Methods of modern mathematical physics 4 Analysis of operators Michael Reed ; Barry Simon [Nachdr.] New York [u.a.] Acad. Press 2005 XV, 396 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wissenschaftstheorie (DE-588)4117665-0 gnd rswk-swf Methode (DE-588)4038971-6 gnd rswk-swf Ökologische Philosophie (DE-588)4194166-4 gnd rswk-swf Ökologie (DE-588)4043207-5 gnd rswk-swf Ökologische Philosophie (DE-588)4194166-4 s Ökologie (DE-588)4043207-5 s Methode (DE-588)4038971-6 s Wissenschaftstheorie (DE-588)4117665-0 s DE-604 Simon, Barry 1946- Verfasser (DE-588)134200195 aut (DE-604)BV002367875 4 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017104654&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Reed, Michael 1942- Simon, Barry 1946- Methods of modern mathematical physics Wissenschaftstheorie (DE-588)4117665-0 gnd Methode (DE-588)4038971-6 gnd Ökologische Philosophie (DE-588)4194166-4 gnd Ökologie (DE-588)4043207-5 gnd |
| subject_GND | (DE-588)4117665-0 (DE-588)4038971-6 (DE-588)4194166-4 (DE-588)4043207-5 |
| title | Methods of modern mathematical physics |
| title_auth | Methods of modern mathematical physics |
| title_exact_search | Methods of modern mathematical physics |
| title_full | Methods of modern mathematical physics 4 Analysis of operators Michael Reed ; Barry Simon |
| title_fullStr | Methods of modern mathematical physics 4 Analysis of operators Michael Reed ; Barry Simon |
| title_full_unstemmed | Methods of modern mathematical physics 4 Analysis of operators Michael Reed ; Barry Simon |
| title_short | Methods of modern mathematical physics |
| title_sort | methods of modern mathematical physics analysis of operators |
| topic | Wissenschaftstheorie (DE-588)4117665-0 gnd Methode (DE-588)4038971-6 gnd Ökologische Philosophie (DE-588)4194166-4 gnd Ökologie (DE-588)4043207-5 gnd |
| topic_facet | Wissenschaftstheorie Methode Ökologische Philosophie Ökologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017104654&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002367875 |
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