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Author:   Josef Janyska ,  Marco Modugno
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2022
Volume:   205
Weight:   1.288kg
ISBN:  

9783030895914

ISBN 10:   3030895912
Pages:   838
Publication Date:   08 April 2023
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Not yet available, will be POD  
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Table of Contents

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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Author Information

Josef Janyska received his PhD in Geometry in 1984 from Charles University in Prague. From 1983 to 1991 he completed several study stays at the St. Petersburg University, the Lomonosov Moscow State University and the University of Florence. Since 1978 he worked at Masaryk University in Brno, first as an assistant professor and from 1988 as an associate professor. Since 2007 he is full Professor of Mathematics-Geometry at the Masaryk University in Brno. His primary research interests include the theory of natural and gauge-natural bundles and applications of differential geometric methods in theoretical physics. Marco Modugno received his degree in Physics at University of Florence in 1966. Full professor of Mathematical Physics at Lecce University (1975-1979) and at Florence University (1979-2013). Currently, emeritus professor. Chief Editor of the Journal of Geometry and Physics (1982-2003), Editor of the Journal Differential Geometry and its Applications (1992-2016). Coordinator of the research group Geometry and Physics at University of Florence (1980-2013). His primary research interests deal with geometric approach to Mathematical Physics including General Relativity and Quantum Mechanics.

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