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Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 23: Quantum Chaos

DY 23.8: Talk

Tuesday, March 13, 2018, 12:00–12:15, EB 107

Bohmian trajectories for the half-line barrier — •Remy Dubertrand1,2, Jeongbo Shim2, and Ward Struyve31Institut für Theoretische Physik Universität Regensburg 93040 Regensburg, Germany — 2Institut de Physique Nucleaire, Atomique et de Spectroscopie, CESAM, University of Liege, Bat. B15, B - 4000 Liege, Belgium — 3Mathematisches Institut, Ludwig-Maximilians-Universität München, Theresienstr. 39, 80333 München, Germany

Bohmian trajectories are considered for a free particle that is scattered by a half-line barrier [1]. 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 condition 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.

[1] R. Dubertrand, J. Shim, W. Struyve, arxiv.1707.06173 (2017)

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