Airy wavepackets are Perelomov coherent states
arXiv:1710.10302 · doi:10.1119/1.5051181
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.
LaTeX 2e, 12 pages, no figures. Slightly revised to improve presentation and incorporate minor corrections. To appear in Am. J. Phys