Lost and found: the radial quantum number of Laguerre-Gauss modes
classification
🪐 quant-ph
keywords
modesradiallaguerre-gaussquantumalgebrabasiccommutationconcepts
pith:NIIV54RD Add to your LaTeX paper
What is a Pith Number?\usepackage{pith}
\pithnumber{NIIV54RD}
Prints a linked pith:NIIV54RD badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more
read the original abstract
We introduce an operator linked with the radial index in the Laguerre-Gauss modes of a two-dimensional harmonic oscillator in cylindrical coordinates. We discuss ladder operators for this variable, and confirm that they obey the commutation relations of the su(1,1) algebra. Using this fact, we examine how basic quantum optical concepts can be recast in terms of radial modes.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.