Related papers: Instability and quantization in quantum hydrodynamics

Instability and quantization in quantum hydrodynamics

URL: http://arxiv.org/abs/2312.06381v1
Date: Mon, 11 Dec 2023 13:44:48 GMT
Title: Instability and quantization in quantum hydrodynamics
Authors: Yakir Aharonov and Tomer Shushi
Abstract summary: We show how a quantum nonlocal effect of far-apart wavepackets in the Schrodinger picture of wavefunctions is replaced by a local instability problem. As a second result, we show how the Madelung equations describe quantized energies without any external quantization conditions.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: In this short paper, we show how a quantum nonlocal effect of far-apart wavepackets in the Schrodinger picture of wavefunctions is replaced by a local instability problem when considering the hydrodynamical formulation of quantum mechanics, known as the Madelung picture. As a second result, we show how the Madelung equations describe quantized energies without any external quantization conditions.

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