Quantum theory for mathematicians:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer
[2013]
|
| Series: | Graduate texts in mathematics
267 |
| Subjects: | |
| Online Access: | DE-634 DE-91 DE-384 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (xvi, 554 Seiten) Illustrationen, Diagramme |
| ISBN: | 9781461471165 |
| DOI: | 10.1007/978-1-4614-7116-5 |
Staff View
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Record in the Search Index
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| adam_text |
QUANTUM THEORY FOR MATHEMATICIANS
/ HALL, BRIAN C.
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1 THE EXPERIMENTAL ORIGINS OF QUANTUM MECHANICS
2 A FIRST APPROACH TO CLASSICAL MECHANICS
3 A FIRST APPROACH TO QUANTUM MECHANICS
4 THE FREE SCHROEDINGER EQUATION
5 A PARTICLE IN A SQUARE WELL
6 PERSPECTIVES ON THE SPECTRAL THEOREM
7 THE SPECTRAL THEOREM FOR BOUNDED SELF-ADJOINT OPERATORS: STATEMENTS
8 THE SPECTRAL THEOREM FOR BOUNDED SEF-ADJOINT OPERATORS: PROOFS
9 UNBOUNDED SELF-ADJOINT OPERATORS
10 THE SPECTRAL THEOREM FOR UNBOUNDED SELF-ADJOINT OPERATORS
11 THE HARMONIC OSCILLATOR
12 THE UNCERTAINTY PRINCIPLE
13 QUANTIZATION SCHEMES FOR EUCLIDEAN SPACE
14 THE STONE–VON NEUMANN THEOREM
15 THE WKB APPROXIMATION
16 LIE GROUPS, LIE ALGEBRAS, AND REPRESENTATIONS
17 ANGULAR MOMENTUM AND SPIN
18 RADIAL POTENTIALS AND THE HYDROGEN ATOM
19 SYSTEMS AND SUBSYSTEMS, MULTIPLE PARTICLES
V ADVANCED TOPICS IN CLASSICAL AND QUANTUM MECHANICS
20 THE PATH-INTEGRAL FORMULATION OF QUANTUM MECHANICS
21 HAMILTONIAN MECHANICS ON MANIFOLDS
22 GEOMETRIC QUANTIZATION ON EUCLIDEAN SPACE
23 GEOMETRIC QUANTIZATION ON MANIFOLDS
A REVIEW OF BASIC MATERIAL
REFERENCES. - INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
QUANTUM THEORY FOR MATHEMATICIANS
/ HALL, BRIAN C.
: 2013
ABSTRACT / INHALTSTEXT
ALTHOUGH IDEAS FROM QUANTUM PHYSICS PLAY AN IMPORTANT ROLE IN MANY PARTS
OF MODERN MATHEMATICS, THERE ARE FEW BOOKS ABOUT QUANTUM MECHANICS AIMED
AT MATHEMATICIANS. THIS BOOK INTRODUCES THE MAIN IDEAS OF QUANTUM
MECHANICS IN LANGUAGE FAMILIAR TO MATHEMATICIANS. READERS WITH LITTLE
PRIOR EXPOSURE TO PHYSICS WILL ENJOY THE BOOK'S CONVERSATIONAL TONE AS
THEY DELVE INTO SUCH TOPICS AS THE HILBERT SPACE APPROACH TO QUANTUM
THEORY; THE SCHROEDINGER EQUATION IN ONE SPACE DIMENSION; THE SPECTRAL
THEOREM FOR BOUNDED AND UNBOUNDED SELF-ADJOINT OPERATORS; THE
STONE–VON NEUMANN THEOREM; THE WENTZEL–KRAMERS–BRILLOUIN
APPROXIMATION; THE ROLE OF LIE GROUPS AND LIE ALGEBRAS IN QUANTUM
MECHANICS; AND THE PATH-INTEGRAL APPROACH TO QUANTUM MECHANICS. THE
NUMEROUS EXERCISES AT THE END OF EACH CHAPTER MAKE THE BOOK SUITABLE FOR
BOTH GRADUATE COURSES AND INDEPENDENT STUDY. MOST OF THE TEXT IS
ACCESSIBLE TO GRADUATE STUDENTS IN MATHEMATICS WHO HAVE HAD A FIRST
COURSE IN REAL ANALYSIS, COVERING THE BASICS OF L2 SPACES AND HILBERT
SPACES. THE FINAL CHAPTERS INTRODUCE READERS WHO ARE FAMILIAR WITH THE
THEORY OF MANIFOLDS TO MORE ADVANCED TOPICS, INCLUDING GEOMETRIC
QUANTIZATION
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. |
| any_adam_object | 1 |
| author | Hall, Brian C. |
| author_GND | (DE-588)1038321050 |
| author_facet | Hall, Brian C. |
| author_role | aut |
| author_sort | Hall, Brian C. |
| author_variant | b c h bc bch |
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| bvnumber | BV041219488 |
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| ctrlnum | (OCoLC)855544130 (DE-599)DNB103621866X |
| dewey-full | 530.15 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15 |
| dewey-search | 530.15 |
| dewey-sort | 3530.15 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-1-4614-7116-5 |
| format | Electronic eBook |
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| indexdate | 2024-09-24T00:16:23Z |
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| isbn | 9781461471165 |
| language | English |
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| spelling | Hall, Brian C. Verfasser (DE-588)1038321050 aut Quantum theory for mathematicians Brian C. Hall New York, NY Springer [2013] © 2013 1 Online-Ressource (xvi, 554 Seiten) Illustrationen, Diagramme txt rdacontent c rdamedia cr rdacarrier Graduate texts in mathematics 267 Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 s Mathematische Physik (DE-588)4037952-8 s 1\p DE-604 Erscheint auch als Druck-Ausgabe, Hardcover 978-1-4614-7115-8 Erscheint auch als Druck-Ausgabe, Paperback 978-1-4899-9362-5 Graduate texts in mathematics 267 (DE-604)BV035421258 267 https://doi.org/10.1007/978-1-4614-7116-5 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026194079&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026194079&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hall, Brian C. Quantum theory for mathematicians Graduate texts in mathematics Mathematische Physik (DE-588)4037952-8 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4047989-4 |
| title | Quantum theory for mathematicians |
| title_auth | Quantum theory for mathematicians |
| title_exact_search | Quantum theory for mathematicians |
| title_full | Quantum theory for mathematicians Brian C. Hall |
| title_fullStr | Quantum theory for mathematicians Brian C. Hall |
| title_full_unstemmed | Quantum theory for mathematicians Brian C. Hall |
| title_short | Quantum theory for mathematicians |
| title_sort | quantum theory for mathematicians |
| topic | Mathematische Physik (DE-588)4037952-8 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Mathematische Physik Quantenmechanik |
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