Quantum mechanics and Talbot revivals on a tetrahedron

BĚLÍN, Jakub; Simon HORSLEY and Tomáš TYC. Quantum mechanics and Talbot revivals on a tetrahedron. Physical review A. New York: The American Physical Society, 2019, vol. 100, No 3, p. 1-8. ISSN 2469-9926. Available from: https://dx.doi.org/10.1103/PhysRevA.100.033806.

Basic information

Original name

Quantum mechanics and Talbot revivals on a tetrahedron

Authors

BĚLÍN, Jakub (703 Slovakia, guarantor); Simon HORSLEY (826 United Kingdom of Great Britain and Northern Ireland) and Tomáš TYC (203 Czech Republic, belonging to the institution)

Edition

Physical review A, New York, The American Physical Society, 2019, 2469-9926

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Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10308 Astronomy

Country of publisher

United States of America

Confidentiality degree

is not subject to a state or trade secret

References:

URL

Impact factor

Impact factor: 2.777

RIV identification code

RIV/00216224:14310/19:00113386

Organization unit

Faculty of Science

DOI

http://dx.doi.org/10.1103/PhysRevA.100.033806

UT WoS

000485187700014

EID Scopus

2-s2.0-85072637326

Keywords in English

quantum particle; wavefunction revival; curved surface; Talbot effect; diffraction

Tags

rivok

Tags

International impact, Reviewed

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Abstract

In the original language

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.