Bohmian trajectories for the half-line barrier

Dubertrand, Remy, Shim, Jeong-Bo and Struyve, Ward (2018) Bohmian trajectories for the half-line barrier. Journal of Physics A: Mathematical and Theoretical, 51 (8). 085302. ISSN 1751-8113

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Official URL: https://doi.org/10.1088/1751-8121/aaa4f9

Abstract

Bohmian trajectories are considered for a particle that is free (i.e. the potential energy is zero), except for a half-line barrier. On the barrier, both Dirichlet and Neumann boundary conditions are considered. The half-line barrier yields one of the simplest cases of diffraction. Using the exact time-dependent propagator found by Schulman, the trajectories are computed numerically for different initial Gaussian wave packets. In particular, it is found that different boundary conditions may lead to qualitatively different sets of trajectories. In the Dirichlet case, the particles tend to be more strongly repelled. The case of an incoming plane wave is also considered. The corresponding Bohmian trajectories are compared with the trajectories of an oil drop hopping on the surface of a vibrating bath.

Item Type: Article
Uncontrolled Keywords: Bohmian mechanics, diffraction, walking droplet, quantum trajectories
Subjects: F300 Physics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Related URLs:
Depositing User: Elena Carlaw
Date Deposited: 19 Nov 2019 10:34
Last Modified: 19 Nov 2019 10:45
URI: http://nrl.northumbria.ac.uk/id/eprint/41482

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