A quantum trajectory analysis of singular wave functions
- URL: http://arxiv.org/abs/2301.13207v1
- Date: Mon, 30 Jan 2023 19:00:01 GMT
- Title: A quantum trajectory analysis of singular wave functions
- Authors: A. S. Sanz, L. L. Sanchez-Soto, A. Aiello
- Abstract summary: The Schr"odinger equation admits smooth and finite solutions that spontaneously evolve into a singularity, even for a free particle.
We resort to the notion of quantum trajectories to reinterpret this singular behavior.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The Schr\"{o}dinger equation admits smooth and finite solutions that
spontaneously evolve into a singularity, even for a free particle. This blowup
is generally ascribed to the intrinsic dispersive character of the associated
time evolution. We resort to the notion of quantum trajectories to reinterpret
this singular behavior. We show that the blowup can be directly related to
local phase variations, which generate an underlying velocity field responsible
for driving the quantum flux toward the singular region.
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