Instability and quantization in quantum hydrodynamics

Yakir Aharonov; Tomer Shushi

doi:10.1142/S0217984924502683

Instability and quantization in quantum hydrodynamics

Yakir Aharonov, Tomer Shushi

Department of Business Administration

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We show how the quantum hydrodynamical formulation of quantum mechanics converts the nonlocality in the standard wave-like description of quantum systems by an instability of the quantum system, which opens the door to a new way for studying quantum systems based on known methodologies for studying the stability of fluids. As a second result, we show how the Madelung equations describe quantized energies without any external quantization conditions.

Original language	English
Article number	2450268
Journal	Modern Physics Letters B
Volume	38
Issue number	27
DOIs	https://doi.org/10.1142/S0217984924502683
State	Published - 30 Sep 2024

Keywords

Current density
Madelung equations
energy levels
nonlocality
phase difference
quantization
quantum hydrodynamics

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Condensed Matter Physics

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10.1142/S0217984924502683

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Instability and quantization in quantum hydrodynamics

Abstract

Keywords

ASJC Scopus subject areas

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