Comment on "The hard sphere quantum propagator: exact results via partial wave analysis''
Quantum Physics
2019-01-15 v1
Abstract
There is no known exact expression for the propagator of a non-relativistic particle colliding with a hard sphere. De Prunel\'e (2008 {\it J.~Phys.~A:~Math.~Theor.} {\bf 41} 255305) derived a partial wave expansion of the propagator and compared it against some known approximations, including the semiclassical Van Vleck-Gutzwiller (VG) propagator; the VG propagator was evaluated entirely numerically. Here we point out that the VG propagator for the particle-sphere problem admits an analytic expression in terms of elementary functions.
Cite
@article{arxiv.1901.04025,
title = {Comment on "The hard sphere quantum propagator: exact results via partial wave analysis''},
author = {Arseni Goussev and Orestis Georgiou and Valeriy Slastikov},
journal= {arXiv preprint arXiv:1901.04025},
year = {2019}
}
Comments
3 pages, 1 figure