Perturbation of spectra in Hilbert space:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Tagungsbericht Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
1965
|
| Schriftenreihe: | Lectures in applied mathematics
3 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "This is the third of a series of four volumes which are to contain the proceedings of the Summer Seminar on Applied Mathematics ... 1960" |
| Beschreibung: | XIII, 178 S. |
Internformat
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Datensatz im Suchindex
| _version_ | 1804117244516499456 |
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| adam_text | Contents
Dedication ix
Preface xi
I. The perturbation problem. Perturbation of discrete
spectra 1
1. Basic notions of spectral theory in Hilbert space 1
2. The perturbation problem 3
3. Perturbation of an isolated point eigenvalue 4
4. Perturbation of an isolated part of the spectrum 8
II. Perturbations of operators having continuous spectra 14
5. Spectral representation 14
6. Perturbation of simple continuous spectra 16
7. Scattering 25
8. Perturbation of an operator with point and con¬
tinuous spectrum 30
III. Perturbation by annihilation creation operators 41
9. Particle representation 41
10. Perturbation by totally smooth annihilation
creation OPERATORS 50
11. Products and graphs 54
12. two basic formulas. basic equations 58
13. Inverse relations 64
14. Change of attitude 66
15. Scattering 68
16. Remarks about divergences in the case of smooth
interaction 72
17. Perturbation obeying a conservation law 74
18. Remarks about removal of divergences 84
Appendix to Chapter I 90
Al. Formal perturbation procedure of multiple eigen¬
values 90
A2. Analytic branches of eigenvalues 92
vii
Viii CONTENTS
A3. NONANALYTIC DISTURBANCE 94
A4. The question of uniform perturbation of the spectrum 95
A5. The projectors associated with an isolated part of
THE SPECTRUM 98
Appendix to Chapter II 102
A6. An explicit example 102
A7. Classes of gentle operators 103
A8. Existence of wave operators for gentle disturbances 110
A9. Perturbation of operators with restricted spectra 113
A10. Differential operators 116
All. Enlargement of the spectrum 119
A12. Completely gentle operators 125
A13. Enlargement by continuous spectra 127
A14. Multiple channel scattering 133
A15. The wave operator method in scattering 138
Appendix to Chapter III 145
A16. The nongentle character of the operator K 145
A17. Annihilation creation operators of class £l 146
A18. Statements about scattering for smooth interaction 151
A19. Inverse relations and scattering statements for
CONSERVATION INTERACTION 156
A20. The nondegenerate Lee model 162
A21. A NON NEGATIVE OPERATOR HQ + V WITH AN EXTRA
VACUUM 168
Bibliography to Chapter I 171
Bibliography to Chapter II 172
Bibliography to Chapter III 174
Author Index 175
Subject Index 177
|
| any_adam_object | 1 |
| author | Friedrichs, Kurt O. 1901-1982 |
| author_GND | (DE-588)118820265 |
| author_facet | Friedrichs, Kurt O. 1901-1982 |
| author_role | aut |
| author_sort | Friedrichs, Kurt O. 1901-1982 |
| author_variant | k o f ko kof |
| building | Verbundindex |
| bvnumber | BV002952660 |
| callnumber-first | Q - Science |
| callnumber-label | QA691F75P 1965 |
| callnumber-raw | QA691F75P 1965 |
| callnumber-search | QA691F75P 1965 |
| callnumber-sort | QA 3691 F75 P 41965 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SD 1960 SK 600 SK 620 |
| ctrlnum | (OCoLC)489741477 (DE-599)BVBBV002952660 |
| dewey-full | 530.14 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.14 |
| dewey-search | 530.14 |
| dewey-sort | 3530.14 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Conference Proceeding Book |
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| id | DE-604.BV002952660 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:51:19Z |
| institution | BVB |
| institution_GND | (DE-588)817833-1 |
| language | English |
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| spelling | Friedrichs, Kurt O. 1901-1982 Verfasser (DE-588)118820265 aut Perturbation of spectra in Hilbert space by Kurt O. Friedrichs Providence, R.I. American Mathematical Society 1965 XIII, 178 S. txt rdacontent n rdamedia nc rdacarrier Lectures in applied mathematics 3 "This is the third of a series of four volumes which are to contain the proceedings of the Summer Seminar on Applied Mathematics ... 1960" Hilbert, Espace de Spektrum (DE-588)4056139-2 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Störung (DE-588)4133232-5 gnd rswk-swf Störungstheorie (DE-588)4128420-3 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1960 Boulder Colo. gnd-content Quantentheorie (DE-588)4047992-4 s Störungstheorie (DE-588)4128420-3 s Hilbert-Raum (DE-588)4159850-7 s DE-604 Spektrum (DE-588)4056139-2 s Störung (DE-588)4133232-5 s Spektraltheorie (DE-588)4116561-5 s 1\p DE-604 Summer Seminar on Applied Mathematics 1960 Boulder, Colo. Sonstige (DE-588)817833-1 oth Lectures in applied mathematics 3 (DE-604)BV004175618 3 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001848688&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Friedrichs, Kurt O. 1901-1982 Perturbation of spectra in Hilbert space Lectures in applied mathematics Hilbert, Espace de Spektrum (DE-588)4056139-2 gnd Hilbert-Raum (DE-588)4159850-7 gnd Spektraltheorie (DE-588)4116561-5 gnd Quantentheorie (DE-588)4047992-4 gnd Störung (DE-588)4133232-5 gnd Störungstheorie (DE-588)4128420-3 gnd |
| subject_GND | (DE-588)4056139-2 (DE-588)4159850-7 (DE-588)4116561-5 (DE-588)4047992-4 (DE-588)4133232-5 (DE-588)4128420-3 (DE-588)1071861417 |
| title | Perturbation of spectra in Hilbert space |
| title_auth | Perturbation of spectra in Hilbert space |
| title_exact_search | Perturbation of spectra in Hilbert space |
| title_full | Perturbation of spectra in Hilbert space by Kurt O. Friedrichs |
| title_fullStr | Perturbation of spectra in Hilbert space by Kurt O. Friedrichs |
| title_full_unstemmed | Perturbation of spectra in Hilbert space by Kurt O. Friedrichs |
| title_short | Perturbation of spectra in Hilbert space |
| title_sort | perturbation of spectra in hilbert space |
| topic | Hilbert, Espace de Spektrum (DE-588)4056139-2 gnd Hilbert-Raum (DE-588)4159850-7 gnd Spektraltheorie (DE-588)4116561-5 gnd Quantentheorie (DE-588)4047992-4 gnd Störung (DE-588)4133232-5 gnd Störungstheorie (DE-588)4128420-3 gnd |
| topic_facet | Hilbert, Espace de Spektrum Hilbert-Raum Spektraltheorie Quantentheorie Störung Störungstheorie Konferenzschrift 1960 Boulder Colo. |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001848688&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004175618 |
| work_keys_str_mv | AT friedrichskurto perturbationofspectrainhilbertspace AT summerseminaronappliedmathematicsbouldercolo perturbationofspectrainhilbertspace |