Towards a Mechanical Analogy of a Quantum Particle: Turbulent Advection of a Fluid Discontinuity and Schroedinger Mechanics

Valery P. Dmitriyev

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Towards a Mechanical Analogy of a Quantum Particle: Turbulent Advection of a Fluid Discontinuity and Schroedinger Mechanics

Valery P. Dmitriyev

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Abstract

A discontinuity of a turbulent ideal fluid is considered. It is supposed to be split and dispersed, or spread in the stochastic environment forming a gas without hydrostatic pressure. Two equal-mass fragments of a discontinuity are indistinguishable from each other. A gas, that possesses such properties, must behave itself as the Madelung medium.

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Valery P. Dmitriyev. 1999-04-17. Towards a Mechanical Analogy of a Quantum Particle: Turbulent Advection of a Fluid Discontinuity and Schroedinger Mechanics. https://arxiv.org/abs/physics/9904034

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