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Pendulum beams: a window into the quantum pendulum
Author(s): Enrique J. Galvez; Fabio J. Auccapuclla; Kristina L. Wittler; Yingsi Qin
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Paper Abstract

Parallels between the Helmholtz and Schrodinger equations can be exploited for using light beams to investigate quantum problems. We present the study of a type of non-diffracting beams known as pendulum beams, where the optical modes satisfy a form of the Helmholtz equation that is identical to the Schrodinger equation for the mechanical pendulum. We prepared optical beams in the corresponding eigenmodes and made measurements of their Fourier spectrum. We find remarkable quantitative agreement between the measured angular spectrum and the quantum mechanical probabilities.

Paper Details

Date Published: 1 March 2019
PDF: 8 pages
Proc. SPIE 10935, Complex Light and Optical Forces XIII, 1093509 (1 March 2019); doi: 10.1117/12.2510822
Show Author Affiliations
Enrique J. Galvez, Colgate Univ. (United States)
Fabio J. Auccapuclla, Colgate Univ. (United States)
Pontificia Univ. Católica del Perú (Peru)
Kristina L. Wittler, Colgate Univ. (United States)
Yingsi Qin, Colgate Univ. (United States)

Published in SPIE Proceedings Vol. 10935:
Complex Light and Optical Forces XIII
Jesper Glückstad; David L. Andrews; Enrique J. Galvez, Editor(s)

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