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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.


This is a preprint of a paper that later underwent peer review and was published in Modern Physics Letters B in 2024. The final published version may vary significantly and is available at

Peer Reviewed



World Scientific Publishing



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