PT-Symmetric Schrödinger operators with unbounded potentials:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Wiesbaden
Vieweg + Teubner
2011
|
| Edition: | 1. ed. |
| Series: | Vieweg + Teubner research
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 83 S. 21 cm |
| ISBN: | 9783834817624 3834817627 |
Staff View
MARC
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Record in the Search Index
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| adam_text | IMAGE 1
TABLE OF CONTENTS
ACKNOWLEDGMENT V
INTRODUCTION 1
1 RELATIVELY BOUNDED PERTURBATIONS IN KREIN SPACES 9
1.1 LINEAR OPERATORS IN KREIN SPACES 9
1.2 STABILITY THEOREMS 14
1.2.1 RELATIVELY BOUNDED AND RELATIVELY COMPACT OPERATORS 14 1.2.2 THE
CASE OF RELATIVE BOUND 0 17
1.2.3 STABILITY OF SELF-ADJOINTNESS IN KREIN SPACES 19 1.3 CONTINUITY OF
SEPARATED PARTS OF THE SPECTRUM 20
1.3.1 CONTINUITY OF RESOLVENTS 20
1.3.2 PERTURBATION OF ISOLATED PARTS OF THE SPECTRUM 23 1.3.3
PERTURBATION OF SPECTRA OF SELF-ADJOINT OPERATORS IN HUBERT SPACES 26
1.3.4 PERTURBATION OF SPECTRA OF SELF-ADJOINT OPERATORS IN KREIN SPACES
30
2 RELATIVELY FORM-BOUNDED PERTURBATIONS IN KREIN SPACES 35 2.1 STABILITY
THEOREMS 35
2.1.1 ACCRETIVE AND SECTORIAL OPERATORS 35
2.1.2 QUADRATIC FORMS AND ASSOCIATED OPERATORS 36
2.1.3 RELATIVELY FORM-BOUNDED AND RELATIVELY FORM-COMPACT OPERATORS 42
2.2 CONTINUITY OF SEPARATED PARTS OF THE SPECTRUM 46
2.2.1 PERTURBATION OF SPECTRA OF SELF-ADJOINT OPERATORS IN HUBERT SPACES
47
2.2.2 PERTURBATION OF SPECTRA OF SELF-ADJOINT OPERATORS IN KREIN SPACES
53
2.3 PSEUDO-FRIEDRICHS EXTENSIONS 59
2.3.1 PERTURBATION OF SPECTRA OF SELF-ADJOINT OPERATORS IN KREIN SPACES
59
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1012421104
DIGITALISIERT DURCH
IMAGE 2
VIII TABLE OF CONTENTS
3 EXAMPLES 65
3.1 EXAMPLE 1 65
3.2 EXAMPLE 2 69
3.3 A CLASS OF SCHROEDINGER OPERATORS WITH RELATIVELY BOUNDED COMPLEX
POTENTIALS AND REAL SPECTRUM 72
BIBLIOGRAPHY 79
|
| any_adam_object | 1 |
| author | Nesemann, Jan |
| author_GND | (DE-588)101373601X |
| author_facet | Nesemann, Jan |
| author_role | aut |
| author_sort | Nesemann, Jan |
| author_variant | j n jn |
| building | Verbundindex |
| bvnumber | BV039634144 |
| classification_rvk | UO 4020 |
| ctrlnum | (OCoLC)746136947 (DE-599)DNB1012421104 |
| dewey-full | 515.724 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.724 |
| dewey-search | 515.724 |
| dewey-sort | 3515.724 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| edition | 1. ed. |
| format | Thesis Book |
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| id | DE-604.BV039634144 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:07:53Z |
| institution | BVB |
| isbn | 9783834817624 3834817627 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024484195 |
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| owner | DE-19 DE-BY-UBM |
| owner_facet | DE-19 DE-BY-UBM |
| physical | VIII, 83 S. 21 cm |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Vieweg + Teubner |
| record_format | marc |
| series2 | Vieweg + Teubner research |
| spelling | Nesemann, Jan Verfasser (DE-588)101373601X aut PT-Symmetric Schrödinger operators with unbounded potentials Jan Nesemann 1. ed. Wiesbaden Vieweg + Teubner 2011 VIII, 83 S. 21 cm txt rdacontent n rdamedia nc rdacarrier Vieweg + Teubner research Zugl.: Bern, Univ., Diss., 2010 Unbeschränkter Operator (DE-588)4236037-7 gnd rswk-swf Parität Physik (DE-588)4173359-9 gnd rswk-swf Hamilton-Operator (DE-588)4072278-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Hamilton-Operator (DE-588)4072278-8 s Unbeschränkter Operator (DE-588)4236037-7 s Parität Physik (DE-588)4173359-9 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024484195&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nesemann, Jan PT-Symmetric Schrödinger operators with unbounded potentials Unbeschränkter Operator (DE-588)4236037-7 gnd Parität Physik (DE-588)4173359-9 gnd Hamilton-Operator (DE-588)4072278-8 gnd |
| subject_GND | (DE-588)4236037-7 (DE-588)4173359-9 (DE-588)4072278-8 (DE-588)4113937-9 |
| title | PT-Symmetric Schrödinger operators with unbounded potentials |
| title_auth | PT-Symmetric Schrödinger operators with unbounded potentials |
| title_exact_search | PT-Symmetric Schrödinger operators with unbounded potentials |
| title_full | PT-Symmetric Schrödinger operators with unbounded potentials Jan Nesemann |
| title_fullStr | PT-Symmetric Schrödinger operators with unbounded potentials Jan Nesemann |
| title_full_unstemmed | PT-Symmetric Schrödinger operators with unbounded potentials Jan Nesemann |
| title_short | PT-Symmetric Schrödinger operators with unbounded potentials |
| title_sort | pt symmetric schrodinger operators with unbounded potentials |
| topic | Unbeschränkter Operator (DE-588)4236037-7 gnd Parität Physik (DE-588)4173359-9 gnd Hamilton-Operator (DE-588)4072278-8 gnd |
| topic_facet | Unbeschränkter Operator Parität Physik Hamilton-Operator Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024484195&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT nesemannjan ptsymmetricschrodingeroperatorswithunboundedpotentials |