An Introduction to Covariant Quantum Mechanics:
Introduction -- Spacetime -- Galileian metric field -- Galileian gravitational field -- Galileian electromagnetic field -- Joined spacetime connection -- Classical dynamics -- Sources of gravitational and electromagnetic fields -- Fundamental fields of phase space -- Geometric structures of phase sp...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham, Switzerland
Springer
[2022]
|
| Schriftenreihe: | Fundamental theories of physics
205 |
| Schlagworte: | |
| Zusammenfassung: | Introduction -- Spacetime -- Galileian metric field -- Galileian gravitational field -- Galileian electromagnetic field -- Joined spacetime connection -- Classical dynamics -- Sources of gravitational and electromagnetic fields -- Fundamental fields of phase space -- Geometric structures of phase space -- Hamiltonian formalism -- Lie algebra of special phase functions -- Classical symmetries -- Quantum bundle -- Galileian upper quantum connection -- Quantum differentials -- Quantum dynamics -- Hydrodynamical picture of QM -- Quantum symmetries -- Quantum differential operators -- Quantum currents and expectation forms -- Sectional quantum bundle -- Feynman path integral -- Conclusions and further developments -- Examples This book deals with an original contribution to the hypothetical missing link unifying the two fundamental branches of physics born in the twentieth century, General Relativity and Quantum Mechanics. Namely, the book is devoted to a review of a "covariant approach" to Quantum Mechanics, along with several improvements and new results with respect to the previous related literature. The first part of the book deals with a covariant formulation of Galilean Classical Mechanics, which stands as a suitable background for covariant Quantum Mechanics. The second part deals with an introduction to covariant Quantum Mechanics. Further, in order to show how the presented covariant approach works in the framework of standard Classical Mechanics and standard Quantum Mechanics, the third part provides a detailed analysis of the standard Galilean space-time, along with three dynamical classical and quantum examples. The appendix accounts for several non-standard mathematical methods widely used in the body of the book |
| Beschreibung: | xviii, 838 Seiten |
| ISBN: | 9783030895884 9783030895914 |
Internformat
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| 520 | 3 | |a Introduction -- Spacetime -- Galileian metric field -- Galileian gravitational field -- Galileian electromagnetic field -- Joined spacetime connection -- Classical dynamics -- Sources of gravitational and electromagnetic fields -- Fundamental fields of phase space -- Geometric structures of phase space -- Hamiltonian formalism -- Lie algebra of special phase functions -- Classical symmetries -- Quantum bundle -- Galileian upper quantum connection -- Quantum differentials -- Quantum dynamics -- Hydrodynamical picture of QM -- Quantum symmetries -- Quantum differential operators -- Quantum currents and expectation forms -- Sectional quantum bundle -- Feynman path integral -- Conclusions and further developments -- Examples | |
| 520 | 3 | |a This book deals with an original contribution to the hypothetical missing link unifying the two fundamental branches of physics born in the twentieth century, General Relativity and Quantum Mechanics. Namely, the book is devoted to a review of a "covariant approach" to Quantum Mechanics, along with several improvements and new results with respect to the previous related literature. The first part of the book deals with a covariant formulation of Galilean Classical Mechanics, which stands as a suitable background for covariant Quantum Mechanics. The second part deals with an introduction to covariant Quantum Mechanics. Further, in order to show how the presented covariant approach works in the framework of standard Classical Mechanics and standard Quantum Mechanics, the third part provides a detailed analysis of the standard Galilean space-time, along with three dynamical classical and quantum examples. The appendix accounts for several non-standard mathematical methods widely used in the body of the book | |
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Datensatz im Suchindex
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| author | Janyška, Josef Modugno, Marco |
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| author_sort | Janyška, Josef |
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| building | Verbundindex |
| bvnumber | BV048204411 |
| ctrlnum | (OCoLC)1334045737 (DE-599)BVBBV048204411 |
| dewey-full | 530.12 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.12 |
| dewey-search | 530.12 |
| dewey-sort | 3530.12 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| discipline_str_mv | Physik |
| format | Book |
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| id | DE-604.BV048204411 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T19:47:31Z |
| indexdate | 2024-07-10T09:31:55Z |
| institution | BVB |
| isbn | 9783030895884 9783030895914 |
| language | English |
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| physical | xviii, 838 Seiten |
| publishDate | 2022 |
| publishDateSearch | 2022 |
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| publisher | Springer |
| record_format | marc |
| series | Fundamental theories of physics |
| series2 | Fundamental theories of physics |
| spelling | Janyška, Josef Verfasser aut An Introduction to Covariant Quantum Mechanics Josef Janyška, Marco Modugno Cham, Switzerland Springer [2022] xviii, 838 Seiten txt rdacontent n rdamedia nc rdacarrier Fundamental theories of physics 205 Introduction -- Spacetime -- Galileian metric field -- Galileian gravitational field -- Galileian electromagnetic field -- Joined spacetime connection -- Classical dynamics -- Sources of gravitational and electromagnetic fields -- Fundamental fields of phase space -- Geometric structures of phase space -- Hamiltonian formalism -- Lie algebra of special phase functions -- Classical symmetries -- Quantum bundle -- Galileian upper quantum connection -- Quantum differentials -- Quantum dynamics -- Hydrodynamical picture of QM -- Quantum symmetries -- Quantum differential operators -- Quantum currents and expectation forms -- Sectional quantum bundle -- Feynman path integral -- Conclusions and further developments -- Examples This book deals with an original contribution to the hypothetical missing link unifying the two fundamental branches of physics born in the twentieth century, General Relativity and Quantum Mechanics. Namely, the book is devoted to a review of a "covariant approach" to Quantum Mechanics, along with several improvements and new results with respect to the previous related literature. The first part of the book deals with a covariant formulation of Galilean Classical Mechanics, which stands as a suitable background for covariant Quantum Mechanics. The second part deals with an introduction to covariant Quantum Mechanics. Further, in order to show how the presented covariant approach works in the framework of standard Classical Mechanics and standard Quantum Mechanics, the third part provides a detailed analysis of the standard Galilean space-time, along with three dynamical classical and quantum examples. The appendix accounts for several non-standard mathematical methods widely used in the body of the book Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Quantum physics Mechanics Geometry, Differential Quantenmechanik (DE-588)4047989-4 s Differentialgeometrie (DE-588)4012248-7 s Mathematische Physik (DE-588)4037952-8 s DE-604 Modugno, Marco Verfasser aut Erscheint auch als Online-Ausgabe 978-3-030-89589-1 Fundamental theories of physics 205 (DE-604)BV000012461 205 |
| spellingShingle | Janyška, Josef Modugno, Marco An Introduction to Covariant Quantum Mechanics Fundamental theories of physics Mathematische Physik (DE-588)4037952-8 gnd Quantenmechanik (DE-588)4047989-4 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4047989-4 (DE-588)4012248-7 |
| title | An Introduction to Covariant Quantum Mechanics |
| title_auth | An Introduction to Covariant Quantum Mechanics |
| title_exact_search | An Introduction to Covariant Quantum Mechanics |
| title_exact_search_txtP | An Introduction to Covariant Quantum Mechanics |
| title_full | An Introduction to Covariant Quantum Mechanics Josef Janyška, Marco Modugno |
| title_fullStr | An Introduction to Covariant Quantum Mechanics Josef Janyška, Marco Modugno |
| title_full_unstemmed | An Introduction to Covariant Quantum Mechanics Josef Janyška, Marco Modugno |
| title_short | An Introduction to Covariant Quantum Mechanics |
| title_sort | an introduction to covariant quantum mechanics |
| topic | Mathematische Physik (DE-588)4037952-8 gnd Quantenmechanik (DE-588)4047989-4 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Mathematische Physik Quantenmechanik Differentialgeometrie |
| volume_link | (DE-604)BV000012461 |
| work_keys_str_mv | AT janyskajosef anintroductiontocovariantquantummechanics AT modugnomarco anintroductiontocovariantquantummechanics |