dorsal/arxiv
View SchemaParticles, fluids and vortices
| Authors | J. W. van Holten |
|---|---|
| Categories | |
| ArXiv ID | physics/0107041 |
| URL | https://arxiv.org/abs/physics/0107041 |
Abstract
Classical particle mechanics on curved spaces is related to the flow of ideal fluids, by a dual interpretation of the Hamilton-Jacobi equation. As in second quantization, the procedure relates the description of a system with a finite number of degrees of freedom to one with infinitely many degrees of freedom. In some two-dimensional fluid mechanics models a duality transformation between the velocity potential and the stream function can be performed relating sources and sinks in one model to vortices in the other. The particle mechanics counterpart of the dual theory is reconstructed. In the quantum theory the strength of sources and sinks, as well as vorticity are quantized; for the duality between theories to be preserved these quantization conditions must be related.
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"abstract": "Classical particle mechanics on curved spaces is related to the flow of ideal\nfluids, by a dual interpretation of the Hamilton-Jacobi equation. As in second\nquantization, the procedure relates the description of a system with a finite\nnumber of degrees of freedom to one with infinitely many degrees of freedom. In\nsome two-dimensional fluid mechanics models a duality transformation between\nthe velocity potential and the stream function can be performed relating\nsources and sinks in one model to vortices in the other. The particle mechanics\ncounterpart of the dual theory is reconstructed. In the quantum theory the\nstrength of sources and sinks, as well as vorticity are quantized; for the\nduality between theories to be preserved these quantization conditions must be\nrelated.",
"arxiv_id": "physics/0107041",
"authors": [
"J. W. van Holten"
],
"categories": [
"physics.flu-dyn",
"hep-th"
],
"title": "Particles, fluids and vortices",
"url": "https://arxiv.org/abs/physics/0107041"
},
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