Instability and quantization in quantum hydrodynamics

Yakir Aharonov; Tomer Shushi

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arXiv · 2312.06381

Instability and quantization in quantum hydrodynamics

Yakir Aharonov·Tomer Shushi

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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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Yakir Aharonov, Tomer Shushi. 2023-12-11. Instability and quantization in quantum hydrodynamics. https://arxiv.org/abs/2312.06381

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