Publication details

Quantum mechanics and Talbot revivals on a tetrahedron

Authors

BĚLÍN Jakub HORSLEY Simon TYC Tomáš

Year of publication 2019
Type Article in Periodical
Magazine / Source Physical review A
MU Faculty or unit

Faculty of Science

Citation
web https://journals.aps.org/pra/abstract/10.1103/PhysRevA.100.033806
Doi http://dx.doi.org/10.1103/PhysRevA.100.033806
Keywords quantum particle; wavefunction revival; curved surface; Talbot effect; diffraction
Description We analyze the propagation of waves on the surface of the simplest Platonic solid, the regular tetrahedron. We find that the time evolution of a quantum particle confined to such a surface is equivalent to the diffraction pattern from a certain grating profile and can therefore be investigated in a simple diffraction experiment. The quantum particle exhibits perfect quantum state revivals, which translate into the fractional Talbot effect in the diffraction pattern. We present the results of such an experiment and compare them with numerical simulations.

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