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An introduction to covariant quantum mechanics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	An introduction to covariant quantum mechanicsby Josef Janyska, Marco Modugno.
作者:	Janyska, J.
其他作者:	Modugno, M.
出版者:	Cham :Springer International Publishing :2022.
面頁冊數:	xviii, 838 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Quantum theory.
電子資源:	https://doi.org/10.1007/978-3-030-89589-1
ISBN:	9783030895891$q(electronic bk.)

An introduction to covariant quantum mechanics
Janyska, J.

An introduction to covariant quantum mechanics[electronic resource] /by Josef Janyska, Marco Modugno. - Cham :Springer International Publishing :2022. - xviii, 838 p. :ill., digital ;24 cm. - Fundamental theories of physics,v. 2052365-6425 ;. - Fundamental theories of physics ;v.172..

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.

ISBN: 9783030895891$q(electronic bk.)

Standard No.: 10.1007/978-3-030-89589-1doiSubjects--Topical Terms:

199020
Quantum theory.

LC Class. No.: QC174.12 / .J36 2022

Dewey Class. No.: 530.12

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505 0 $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 $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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