Foundations of Physics

, Volume 11, Issue 11–12, pp 839–862 | Cite as

Quantum mechanics in Galilean space-time

  • Ray E. Artz
Article

Abstract

The usual quantum mechanical treatment of a Schrödinger particle is translated into manifestly Galilean-invariant language, primarily through the use of Wigner-distribution methods. The hydrodynamical formulation of quantum mechanics is derived directly from the Wigner-distribution formulation, and the two formulations are compared. Wigner distributions are characterized directly, i.e., without reference to wave functions, and a heuristic interpretation of Wigner distributions and their evolution is developed.

Keywords

Quantum Mechanic Mechanical Treatment Wigner Distribution Usual Quantum Quantum Mechanical Treatment 

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Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • Ray E. Artz
    • 1
  1. 1.Department of Mathematical SciencesNorthern Illinois UniversityDeKalb

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