dorsal/arxiv
View Schema"Velocities" in Quantum Mechanics
| Authors | Toshiki Shimbori, Tsunehiro Kobayashi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0004086 |
| URL | https://arxiv.org/abs/quant-ph/0004086 |
| Journal | Appendix A of [J. Phys. A33 (2000) 7637] |
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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"abstract": "The present paper deals with some kind of quantum ``velocity\u0027\u0027 which is\nintroduced by the method of hydrodynamical analogy. It is found that this\n``velocity\u0027\u0027 is in general irrotational, namely, a vorticity vanishes, and then\na velocity potential must exist in quantum mechanics. In some elementary\nexamples of stable systems we will see what the ``velocities\u0027\u0027 are. In\nparticular, the two-dimensional flows of these examples can be expressed by\ncomplex velocity potentials whose real and imaginary parts are the velocity\npotentials and stream functions, respectively.",
"arxiv_id": "quant-ph/0004086",
"authors": [
"Toshiki Shimbori",
"Tsunehiro Kobayashi"
],
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"quant-ph"
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"journal_ref": "Appendix A of [J. Phys. A33 (2000) 7637]",
"title": "\"Velocities\" in Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0004086"
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