Instability and quantization in quantum hydrodynamics
Quantum Physics
2023-12-12 v1
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.
Cite
@article{arxiv.2312.06381,
title = {Instability and quantization in quantum hydrodynamics},
author = {Yakir Aharonov and Tomer Shushi},
journal= {arXiv preprint arXiv:2312.06381},
year = {2023}
}