A topological behavior of quantum particles originated from the
classicality of their flow velocity
- URL: http://arxiv.org/abs/2402.11624v1
- Date: Sun, 18 Feb 2024 15:31:23 GMT
- Title: A topological behavior of quantum particles originated from the
classicality of their flow velocity
- Authors: Tomer Shushi
- Abstract summary: We propose a new quantum effect that naturally emerges from describing the quantum particle as a classical fluid.
We show how the maximum values of the wavefunction's amplitude lie along the boundaries of the region when imposing a vanished quantum potential.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In this letter, we propose a new quantum effect that naturally emerges from
describing the quantum particle as a classical fluid. Following the
hydrodynamical formulation of quantum mechanics for a particle in a finite
convex region, we show how the maximum values of the wavefunction's amplitude
lie along the boundaries of the region when imposing a vanished quantum
potential, implying a classical flow velocity of the particle. The effect is
obtained for the case of particles in curved space, described by Riemannian
structures. We further show that such an effect cannot be achieved in the
relativistic regime when dealing with quantum particles in flat or curved
spacetime.
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