English

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

R2 v1 2026-06-23T07:10:11.872Z