The principles of Newtonian and quantum mechanics: the need for Planck's constant, h
This book deals with the foundations of classical physics from the "symplectic" point of view, and of quantum mechanics from the "metaplectic" point of view. The Bohmian interpretation of quantum mechanics is discussed. Phase space quantization is achieved using the "princip...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London
Imperial College Press
c2001
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| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | This book deals with the foundations of classical physics from the "symplectic" point of view, and of quantum mechanics from the "metaplectic" point of view. The Bohmian interpretation of quantum mechanics is discussed. Phase space quantization is achieved using the "principle of the symplectic camel", which is a recently discovered deep topological property of Hamiltonian flows. The mathematical tools developed in this book are the theory of the metaplectic group, the Maslov index in a precise form, and the Leray index of a pair of Lagrangian planes. The concept of the "metatron" is introduced, in connection with the Bohmian theory of motion. A precise form of Feynman's integral is introduced in connection with the extended metaplectic representation |
| Beschreibung: | xxii, 357 p |
| ISBN: | 9781848161429 |
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Datensatz im Suchindex
| _version_ | 1804178043739045888 |
|---|---|
| any_adam_object | |
| author | Gosson, Maurice de |
| author_facet | Gosson, Maurice de |
| author_role | aut |
| author_sort | Gosson, Maurice de |
| author_variant | m d g md mdg |
| building | Verbundindex |
| bvnumber | BV044633331 |
| classification_rvk | UF 1000 UK 1000 UK 1200 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00004246 (OCoLC)1012709952 (DE-599)BVBBV044633331 |
| dewey-full | 530.15564 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15564 |
| dewey-search | 530.15564 |
| dewey-sort | 3530.15564 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
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| id | DE-604.BV044633331 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:42Z |
| institution | BVB |
| isbn | 9781848161429 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030031303 |
| oclc_num | 1012709952 |
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| owner | DE-92 |
| owner_facet | DE-92 |
| physical | xxii, 357 p |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Imperial College Press |
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| spelling | Gosson, Maurice de Verfasser aut The principles of Newtonian and quantum mechanics the need for Planck's constant, h M A de Gosson London Imperial College Press c2001 xxii, 357 p txt rdacontent c rdamedia cr rdacarrier This book deals with the foundations of classical physics from the "symplectic" point of view, and of quantum mechanics from the "metaplectic" point of view. The Bohmian interpretation of quantum mechanics is discussed. Phase space quantization is achieved using the "principle of the symplectic camel", which is a recently discovered deep topological property of Hamiltonian flows. The mathematical tools developed in this book are the theory of the metaplectic group, the Maslov index in a precise form, and the Leray index of a pair of Lagrangian planes. The concept of the "metatron" is introduced, in connection with the Bohmian theory of motion. A precise form of Feynman's integral is introduced in connection with the extended metaplectic representation Lagrangian functions Maslov index Geometric quantization Maslov-Index (DE-588)4169023-0 gnd rswk-swf Geometrische Quantisierung (DE-588)4156720-1 gnd rswk-swf Symplektische Geometrie (DE-588)4194232-2 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Lagrange-Funktion (DE-588)4166459-0 gnd rswk-swf Mechanik (DE-588)4038168-7 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Mechanik (DE-588)4038168-7 s Quantenmechanik (DE-588)4047989-4 s Mathematische Physik (DE-588)4037952-8 s Symplektische Geometrie (DE-588)4194232-2 s 1\p DE-604 Lagrange-Funktion (DE-588)4166459-0 s Maslov-Index (DE-588)4169023-0 s Geometrische Quantisierung (DE-588)4156720-1 s 2\p DE-604 Erscheint auch als Druck-Ausgabe 1860942741 Erscheint auch als Druck-Ausgabe 9781860942747 http://www.worldscientific.com/worldscibooks/10.1142/P235#t=toc Verlag URL des Erstveroeffentlichers 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 |
| spellingShingle | Gosson, Maurice de The principles of Newtonian and quantum mechanics the need for Planck's constant, h Lagrangian functions Maslov index Geometric quantization Maslov-Index (DE-588)4169023-0 gnd Geometrische Quantisierung (DE-588)4156720-1 gnd Symplektische Geometrie (DE-588)4194232-2 gnd Mathematische Physik (DE-588)4037952-8 gnd Lagrange-Funktion (DE-588)4166459-0 gnd Mechanik (DE-588)4038168-7 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4169023-0 (DE-588)4156720-1 (DE-588)4194232-2 (DE-588)4037952-8 (DE-588)4166459-0 (DE-588)4038168-7 (DE-588)4047989-4 |
| title | The principles of Newtonian and quantum mechanics the need for Planck's constant, h |
| title_auth | The principles of Newtonian and quantum mechanics the need for Planck's constant, h |
| title_exact_search | The principles of Newtonian and quantum mechanics the need for Planck's constant, h |
| title_full | The principles of Newtonian and quantum mechanics the need for Planck's constant, h M A de Gosson |
| title_fullStr | The principles of Newtonian and quantum mechanics the need for Planck's constant, h M A de Gosson |
| title_full_unstemmed | The principles of Newtonian and quantum mechanics the need for Planck's constant, h M A de Gosson |
| title_short | The principles of Newtonian and quantum mechanics |
| title_sort | the principles of newtonian and quantum mechanics the need for planck s constant h |
| title_sub | the need for Planck's constant, h |
| topic | Lagrangian functions Maslov index Geometric quantization Maslov-Index (DE-588)4169023-0 gnd Geometrische Quantisierung (DE-588)4156720-1 gnd Symplektische Geometrie (DE-588)4194232-2 gnd Mathematische Physik (DE-588)4037952-8 gnd Lagrange-Funktion (DE-588)4166459-0 gnd Mechanik (DE-588)4038168-7 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Lagrangian functions Maslov index Geometric quantization Maslov-Index Geometrische Quantisierung Symplektische Geometrie Mathematische Physik Lagrange-Funktion Mechanik Quantenmechanik |
| url | http://www.worldscientific.com/worldscibooks/10.1142/P235#t=toc |
| work_keys_str_mv | AT gossonmauricede theprinciplesofnewtonianandquantummechanicstheneedforplancksconstanth |