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Probability current and a simulation of particle separation

Felix B. A. Tellander, Johan E. M. Ulander, Irina I. Yakimenko, Karl-Fredrik Berggren

Journal of Young Investigators, vol. 31, issue 4, 1-6, 2016.


The structure of scattered wave fields and currents is of interest in a variety of fields within physics such as quantum mechanics and optics. Traditionally two-dimensional structures have been investigated; here we focus on three-dimensional structures. We make a generic study of three dimensional quantum box cavities, and our main objective is to visualize the probability current. Visualizations are achieved for complex linear combinations of wave functions with different excitations and with boundary conditions: Dirichlet, Neumann, and mixed. By using different boundary conditions, the results reported here are relevant to many different wave analogues such as microwave billiards and acoustic cavities. Visualization was mainly done through animated images, but a chaotic state was visualized by 3D printing. Our results suggest that if the state of excitation is the same in the different boundary conditions, the current is the same, except at the boundaries of the box. Application to sort nanoparticles in acoustic cavities is considered.

The paper has been nominated as a Reader’s Choice pick for Best of Journal of Young Investigators 2016

Figure: Simulated and 3D printed complex nodal surfaces.  A) is the real part and B) is the imaginary part of a wave function. C)-D) 3D-printed versions of the same surfaces

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Last updated: 12/14/16