Pendulum beams: A window into the quantum pendulum

E. J. Galvez; F. Auccapuclla; Kristina L. Wittler; Yingsi Qin

Pendulum beams: A window into the quantum pendulum

E. J. Galvez, F. Auccapuclla, Kristina L. Wittler, Yingsi Qin

Sección de Física

Colgate University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

7 Scopus citations

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.

Original language	Spanish
Title of host publication	Proceedings of SPIE - The International Society for Optical Engineering
Volume	10935
State	Published - 1 Jan 2019

Cite this

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title = "Pendulum beams: A window into the quantum pendulum",

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.",

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T1 - Pendulum beams: A window into the quantum pendulum

AU - Galvez, E. J.

AU - Auccapuclla, F.

AU - Wittler, Kristina L.

AU - Qin, Yingsi

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

M3 - Contribución a la conferencia

VL - 10935

BT - Proceedings of SPIE - The International Society for Optical Engineering

ER -