Linear algebra for quantum theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Wiley
1998
|
| Series: | A Wiley-Interscience publication
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 458 S. graph. Darst. |
| ISBN: | 0471199583 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804126611286523904 |
|---|---|
| adam_text | CONTENTS
Preface vii
Related Publications jx
Chapter 1. Introduction 1
Chapter 2. Elements of Set Theory 4
2.1. Some Fundamental Concepts in Set Theory 4
2.2. Equivalence Relations 6
2.3. Mappings 7
2.4. Cardinalities of Sets 10
2.5. Arithmetic and the Theory of Complex Numbers 18
2.6. Some General Aspects of Axiomatic Theories 21
Chapter 3. Linear Spaces 29
3.1. Basic Definitions 29
3.2. Linear Operators 45
3.3. Eigenvalue and Stability Problems of the Linear
Operators 63
3.4. Study of Matrices Having Special Properties 111
Chapter 4. Binary Product Spaces 182
4.1. General Properties of Binary Products 182
4.2. Properties of Self Adjoint Operators in a Space of
Indefinite Metric 213
4.3. Properties of Binary Product Spaces Having a
Positive Definite Metric 236
4.4. Elementary Properties of Self Adjoint, Normal, and
Unitary Operators in Linear Spaces Having a Finite
Norm 264
4.5. Operator Inequalities and Variation Principles 281
4.6. Properties of the Hilbert Space 313
Chapter 5. Axioms of Quantum Theory Formulated as a Trace
Algebra 347
5.1. Some Properties of Linear Spaces and Their
Operators 348
5.2. Classes of Bases and Operators 365
5.3. Experimental Background 367
5.4. Axioms of Quantum Theory 369
V
vi CONTENTS
5.5. Properties of System Operators and Ensembles 389
5.6. Time Dependent Quantum Theory 403
5.7. Linear Functional and Binary Products 413
REFERENCES 426
APPENDIXES
Appendix A Some Elementary Theorems about Traces 428
Appendix B Properties of Reality Preserving Similarity Translations 430
Appendix C Some Properties of Similarity Transformations of the
Second Order 431
Appendix D Matrix Representation of the Fundamental Units 434
Appendix E Involutions of an Operator 437
Appendix F Some Properties of Polar Decompositions 440
INDEX 445
|
| any_adam_object | 1 |
| author | Löwdin, Per Olov 1916-2000 |
| author_GND | (DE-588)124396747 |
| author_facet | Löwdin, Per Olov 1916-2000 |
| author_role | aut |
| author_sort | Löwdin, Per Olov 1916-2000 |
| author_variant | p o l po pol |
| building | Verbundindex |
| bvnumber | BV012013918 |
| classification_rvk | UK 1200 |
| classification_tum | PHY 012f PHY 021f |
| ctrlnum | (OCoLC)185796429 (DE-599)BVBBV012013918 |
| dewey-full | 530.12015125 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.12015125 |
| dewey-search | 530.12015125 |
| dewey-sort | 3530.12015125 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:20:12Z |
| institution | BVB |
| isbn | 0471199583 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008131018 |
| oclc_num | 185796429 |
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| owner_facet | DE-29T DE-355 DE-BY-UBR DE-703 DE-20 DE-91G DE-BY-TUM DE-83 |
| physical | XI, 458 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Wiley |
| record_format | marc |
| series2 | A Wiley-Interscience publication |
| spelling | Löwdin, Per Olov 1916-2000 Verfasser (DE-588)124396747 aut Linear algebra for quantum theory Per-Olov Löwdin New York [u.a.] Wiley 1998 XI, 458 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier A Wiley-Interscience publication Algebras, Linear BNB Kvantteori Quantum theory BNB Quantentheorie Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Geordneter Vektorraum (DE-588)4156756-0 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Quantenphysik (DE-588)4266670-3 gnd rswk-swf Mengenlehre (DE-588)4074715-3 gnd rswk-swf Quantentheorie (DE-588)4047992-4 s Mathematik (DE-588)4037944-9 s DE-604 Geordneter Vektorraum (DE-588)4156756-0 s Mengenlehre (DE-588)4074715-3 s Quantenphysik (DE-588)4266670-3 s Lineare Algebra (DE-588)4035811-2 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008131018&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Löwdin, Per Olov 1916-2000 Linear algebra for quantum theory Algebras, Linear BNB Kvantteori Quantum theory BNB Quantentheorie Lineare Algebra (DE-588)4035811-2 gnd Geordneter Vektorraum (DE-588)4156756-0 gnd Quantentheorie (DE-588)4047992-4 gnd Mathematik (DE-588)4037944-9 gnd Quantenphysik (DE-588)4266670-3 gnd Mengenlehre (DE-588)4074715-3 gnd |
| subject_GND | (DE-588)4035811-2 (DE-588)4156756-0 (DE-588)4047992-4 (DE-588)4037944-9 (DE-588)4266670-3 (DE-588)4074715-3 |
| title | Linear algebra for quantum theory |
| title_auth | Linear algebra for quantum theory |
| title_exact_search | Linear algebra for quantum theory |
| title_full | Linear algebra for quantum theory Per-Olov Löwdin |
| title_fullStr | Linear algebra for quantum theory Per-Olov Löwdin |
| title_full_unstemmed | Linear algebra for quantum theory Per-Olov Löwdin |
| title_short | Linear algebra for quantum theory |
| title_sort | linear algebra for quantum theory |
| topic | Algebras, Linear BNB Kvantteori Quantum theory BNB Quantentheorie Lineare Algebra (DE-588)4035811-2 gnd Geordneter Vektorraum (DE-588)4156756-0 gnd Quantentheorie (DE-588)4047992-4 gnd Mathematik (DE-588)4037944-9 gnd Quantenphysik (DE-588)4266670-3 gnd Mengenlehre (DE-588)4074715-3 gnd |
| topic_facet | Algebras, Linear Kvantteori Quantum theory Quantentheorie Lineare Algebra Geordneter Vektorraum Mathematik Quantenphysik Mengenlehre |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008131018&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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