2001/07/18 by J.W. van Holten, J. W. van Holten, van Holten, J. W.
Computer Science · Engineering · Physics and Astronomy · #Computational Physics and Python Applications #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #High Energy Physics - Theory (hep-th) #hep-th #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.physics/0107041
LaTeX, 10 pages
arxiv created 2001/07/18 · openalex publication_date 2001/07/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.