An Introduction to Hilbert Space and Quantum Logic:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1989
|
| Schriftenreihe: | Problem Books in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Historically, nonclassical physics developed in three stages. First came a collection of ad hoc assumptions and then a cookbook of equations known as "quantum mechanics". The equations and their philosophical underpinnings were then collected into a model based on the mathematics of Hilbert space. From the Hilbert space model came the abstaction of "quantum logics". This book explores all three stages, but not in historical order. Instead, in an effort to illustrate how physics and abstract mathematics influence each other we hop back and forth between a purely mathematical development of Hilbert space, and a physically motivated definition of a logic, partially linking the two throughout, and then bringing them together at the deepest level in the last two chapters. This book should be accessible to undergraduate and beginning graduate students in both mathematics and physics. The only strict prerequisites are calculus and linear algebra, but the level of mathematical sophistication assumes at least one or two intermediate courses, for example in mathematical analysis or advanced calculus. No background in physics is assumed |
| Beschreibung: | 1 Online-Ressource (XII, 149p. 38 illus) |
| ISBN: | 9781461388418 9781461388432 |
| ISSN: | 0941-3502 |
| DOI: | 10.1007/978-1-4613-8841-8 |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Cohen, David W. |
| author_facet | Cohen, David W. |
| author_role | aut |
| author_sort | Cohen, David W. |
| author_variant | d w c dw dwc |
| building | Verbundindex |
| bvnumber | BV042420754 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
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| dewey-full | 530.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1 |
| dewey-search | 530.1 |
| dewey-sort | 3530.1 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-1-4613-8841-8 |
| format | Electronic eBook |
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| id | DE-604.BV042420754 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:07Z |
| institution | BVB |
| isbn | 9781461388418 9781461388432 |
| issn | 0941-3502 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856171 |
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| physical | 1 Online-Ressource (XII, 149p. 38 illus) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1989 |
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| publisher | Springer New York |
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| spelling | Cohen, David W. Verfasser aut An Introduction to Hilbert Space and Quantum Logic by David W. Cohen New York, NY Springer New York 1989 1 Online-Ressource (XII, 149p. 38 illus) txt rdacontent c rdamedia cr rdacarrier Problem Books in Mathematics 0941-3502 Historically, nonclassical physics developed in three stages. First came a collection of ad hoc assumptions and then a cookbook of equations known as "quantum mechanics". The equations and their philosophical underpinnings were then collected into a model based on the mathematics of Hilbert space. From the Hilbert space model came the abstaction of "quantum logics". This book explores all three stages, but not in historical order. Instead, in an effort to illustrate how physics and abstract mathematics influence each other we hop back and forth between a purely mathematical development of Hilbert space, and a physically motivated definition of a logic, partially linking the two throughout, and then bringing them together at the deepest level in the last two chapters. This book should be accessible to undergraduate and beginning graduate students in both mathematics and physics. The only strict prerequisites are calculus and linear algebra, but the level of mathematical sophistication assumes at least one or two intermediate courses, for example in mathematical analysis or advanced calculus. No background in physics is assumed Physics Theoretical, Mathematical and Computational Physics Axiomatik (DE-588)4004038-0 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Quantenlogik (DE-588)4176599-0 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Quantentheorie (DE-588)4047992-4 s Axiomatik (DE-588)4004038-0 s Hilbert-Raum (DE-588)4159850-7 s 1\p DE-604 Quantenlogik (DE-588)4176599-0 s 2\p DE-604 Quantenmechanik (DE-588)4047989-4 s 3\p DE-604 Mathematische Logik (DE-588)4037951-6 s 4\p DE-604 https://doi.org/10.1007/978-1-4613-8841-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cohen, David W. An Introduction to Hilbert Space and Quantum Logic Physics Theoretical, Mathematical and Computational Physics Axiomatik (DE-588)4004038-0 gnd Hilbert-Raum (DE-588)4159850-7 gnd Quantenlogik (DE-588)4176599-0 gnd Quantenmechanik (DE-588)4047989-4 gnd Quantentheorie (DE-588)4047992-4 gnd Mathematische Logik (DE-588)4037951-6 gnd |
| subject_GND | (DE-588)4004038-0 (DE-588)4159850-7 (DE-588)4176599-0 (DE-588)4047989-4 (DE-588)4047992-4 (DE-588)4037951-6 |
| title | An Introduction to Hilbert Space and Quantum Logic |
| title_auth | An Introduction to Hilbert Space and Quantum Logic |
| title_exact_search | An Introduction to Hilbert Space and Quantum Logic |
| title_full | An Introduction to Hilbert Space and Quantum Logic by David W. Cohen |
| title_fullStr | An Introduction to Hilbert Space and Quantum Logic by David W. Cohen |
| title_full_unstemmed | An Introduction to Hilbert Space and Quantum Logic by David W. Cohen |
| title_short | An Introduction to Hilbert Space and Quantum Logic |
| title_sort | an introduction to hilbert space and quantum logic |
| topic | Physics Theoretical, Mathematical and Computational Physics Axiomatik (DE-588)4004038-0 gnd Hilbert-Raum (DE-588)4159850-7 gnd Quantenlogik (DE-588)4176599-0 gnd Quantenmechanik (DE-588)4047989-4 gnd Quantentheorie (DE-588)4047992-4 gnd Mathematische Logik (DE-588)4037951-6 gnd |
| topic_facet | Physics Theoretical, Mathematical and Computational Physics Axiomatik Hilbert-Raum Quantenlogik Quantenmechanik Quantentheorie Mathematische Logik |
| url | https://doi.org/10.1007/978-1-4613-8841-8 |
| work_keys_str_mv | AT cohendavidw anintroductiontohilbertspaceandquantumlogic |