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arXiv · 2106.13225

Induced osmotic vorticity in the quantum hydrodynamical picture

C Dedes
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Abstract

A nonlinear wave mechanical equation is proposed by inserting an imaginary quantum potential into the Schr\"{o}dinger equation. An explicit expression for its solution is given under certain assumptions and it is shown that it entails attenuation related effects as non-unitary evolution, non-exponential quantum decay and entropy production. In the quantum hydrodynamical formulation the existence of circulation effects for the osmotic velocity field is established. Finally, a time-invariant equation for the probability density is derived, analogous to the tensor Lighthill equation in aeroacoustics, which admits both retarded and advanced solutions.

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C Dedes. 2021-06-24. Induced osmotic vorticity in the quantum hydrodynamical picture. https://arxiv.org/abs/2106.13225

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