Overcoming a challenge for Bohmian mechanics

• URL: http://arxiv.org/abs/2507.08049v1
• Date: Thu, 10 Jul 2025 07:38:32 GMT
• Title: Overcoming a challenge for Bohmian mechanics
• Abstract summary: Bohmian mechanics has been challenged by studying a system in which the motion of particles cannot be associated only with the phase gradient of the wave function.<n>We point out that, in general, Bohmian velocity is defined by the continuity equation, which does not always lead to velocity depending only on the phase gradient.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Recently, Bohmian mechanics has been challenged [Nature 643, 67 (2025)] by studying a system in which the motion of particles cannot be associated only with the gradient of phase of the wave function. We point out that, in general, Bohmian velocity is defined by the continuity equation, which does not always lead to velocity depending only on the phase gradient. By constructing the appropriate velocity explicitly, we overcome the challenge.

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