Quantum mechanics in Galilean space-time |
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Authors: | Ray E Artz |
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Institution: | 1. Department of Mathematical Sciences, Northern Illinois University, DeKalb, Illinois
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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. |
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