An introduction to covariant quantum mechanics / Josef Janyška, Marco Modugno.

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, a...

Full description

Saved in:
Bibliographic Details
Online Access: Full Text (via Springer)
Main Authors: Janyška, J. (Josef) (Author), Modugno, M. (Marco) (Author)
Format: eBook
Language:English
Published: Cham : Springer, [2022]
Series:Fundamental theories of physics ; v. 205.
Subjects:
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.