rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    non sort: An
    title: Introduction to Covariant Quantum Mechanics
  name:
    name part: Janyška, Josef.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Modugno, Marco.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: sz
    date issued: 2022
    edition: 1st ed. 2022.
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (XVIII, 838 pages 10 illustrations.)
  abstract: 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.
  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.
  note: by Josef Janyška, Marco Modugno.
  subject:
    topic: Quantum physics
  subject:
    topic: Mechanics
  subject:
    topic: Geometry, Differential
  subject:
    topic: Quantum Physics
  subject:
    topic: Classical Mechanics
  subject:
    topic: Differential Geometry
  classification: QC173.96-174.52
  classification: 530.12
  related item:
    title info:
      title: Springer Nature eBook
  related item:
    title info:
      title: Fundamental Theories of Physics, 205
  identifier: 9783030895891
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record creation date: 220406
    record change date: 20240805185325.5
    record identifier: in00004577704