Article (Scientific journals)
Bohmian trajectories for the half-line barrier
Dubertrand, Rémy; Shim, J.-B.; Struyve, W.
2018In Journal of Physics. A, Mathematical and Theoretical, 51 (8), p. 085302
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Keywords :
Bohmian mechanics
Abstract :
[en] 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. © 2018 IOP Publishing Ltd.
Disciplines :
Physics
Author, co-author :
Dubertrand, Rémy ;  Université de Liège - ULg
Shim, J.-B.;  Institut de Physique Nucléaire, Atomique et de Spectroscopie, CESAM, Université de Liège, Bât. B15, Liège, B - 4000, Belgium
Struyve, W.;  Mathematisches Institut, Ludwig-Maximilians-Universität München, Theresienstr. 39, München, 80333, Germany
Language :
English
Title :
Bohmian trajectories for the half-line barrier
Publication date :
2018
Journal title :
Journal of Physics. A, Mathematical and Theoretical
ISSN :
1751-8113
eISSN :
1751-8121
Publisher :
Institute of Physics (IOP)
Volume :
51
Issue :
8
Pages :
085302
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 16 May 2021

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