An introduction to covariant quantum mechanics / Josef Janyška, Marco Modugno.
Janyška, J. (Josef), author.; Modugno, M. (Marco), author.
2022
QC174.12 .J36 2022
Available Online

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Title An introduction to covariant quantum mechanics / Josef Janyška, Marco Modugno.
Author Janyška, J. (Josef), author.
ISBN 9783030895891 (electronic bk.)
3030895890 (electronic bk.)
9783030895884
3030895882
DOI https://doi.org/10.1007/978-3-030-89589-1
Published Cham : Springer, [2022]
Copyright ©2022
Language English
Description 1 online resource : illustrations.
Other Standard Identifiers 10.1007/978-3-030-89589-1 doi
Call Number QC174.12 .J36 2022
Dewey Decimal Classification 530.12
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed April 14, 2022).
Added Author Modugno, M. (Marco), author.
Series Fundamental theories of physics ; v. 205. 2365-6425
Available in Other Form Print version: 9783030895884
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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.

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