"Velocities" in Quantum Mechanics
量子物理
2007-05-23 v1
摘要
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.
引用
@article{arxiv.quant-ph/0004086,
title = {"Velocities" in Quantum Mechanics},
author = {Toshiki Shimbori and Tsunehiro Kobayashi},
journal= {arXiv preprint arXiv:quant-ph/0004086},
year = {2007}
}
备注
7 pages, AmS-LaTeX, no figures