"Velocities" in Quantum Mechanics

Details "Velocities" in Quantum Mechanics "Velocities" in Quantum Mechanics

2000-04-21

arxiv.org/abs/quant-ph/0004086v1

Appendix A of [J. Phys. A33 (2000) 7637]

Physics

Quantum Physics

7 pages, AmS-LaTeX, no figures

Scientific paper

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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