A Bohmian trajectory analysis of singular wave functions

Sanz ÁS, Sanchez-Soto LL, Aiello A (2024)


Publication Type: Journal article

Publication year: 2024

Journal

Book Volume: 504

Pages Range: 129428

Article Number: 129428

DOI: 10.1016/j.physleta.2024.129428

Abstract

The Schrödinger 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 Bohmian trajectories to relate this singular behavior to local phase variations, which generate an underlying velocity field responsible for driving the quantum flux toward the singular region.

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APA:

Sanz, Á.S., Sanchez-Soto, L.L., & Aiello, A. (2024). A Bohmian trajectory analysis of singular wave functions. Physics Letters A, 504, 129428. https://doi.org/10.1016/j.physleta.2024.129428

MLA:

Sanz, Ángel S., Luis L. Sanchez-Soto, and Andrea Aiello. "A Bohmian trajectory analysis of singular wave functions." Physics Letters A 504 (2024): 129428.

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