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"Velocities" in Quantum Mechanics

Toshiki Shimbori·Tsunehiro Kobayashi
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Abstract

The present paper deals with some kind of quantum ``velocity'' which is introduced by the method of hydrodynamical analogy. It is found that this ``velocity'' is in general irrotational, namely, a vorticity vanishes, and then a velocity potential must exist in quantum mechanics. In some elementary examples of stable systems we will see what the ``velocities'' are. In particular, the two-dimensional flows of these examples can be expressed by complex velocity potentials whose real and imaginary parts are the velocity potentials and stream functions, respectively.

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Toshiki Shimbori, Tsunehiro Kobayashi. 2000-04-21. "Velocities" in Quantum Mechanics. https://arxiv.org/abs/quant-ph/0004086

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