Airy wavepackets are Perelomov coherent states
Quantum Physics
2018-09-28 v2 Optics
Abstract
Accelerating non-spreading wavepackets in nonrelativistic free particle system, with probability distribution having an Airy function profile, were discovered by Berry and Balazs (1979), and have been subsequently realised in several optical experiments. It is shown that these wavepackets are actually Perelomov coherent states. It is found that the Galilean invariance of the Schrodinger equation plays a key role in making these states unique and giving rise to their unusual propagation properties.
Cite
@article{arxiv.1710.10302,
title = {Airy wavepackets are Perelomov coherent states},
author = {Vivek M. Vyas},
journal= {arXiv preprint arXiv:1710.10302},
year = {2018}
}
Comments
LaTeX 2e, 12 pages, no figures. Slightly revised to improve presentation and incorporate minor corrections. To appear in Am. J. Phys