对“硬球量子传播子：通过分波分析的精确结果”的评论
Comment on "The hard sphere quantum propagator: exact results via partial wave analysis''
摘要：
对于非相对论性粒子与硬球碰撞的传播子，还没有已知的精确表达式。De Prunelé（2008 { \it J.~物理学~ A：~数学。~ Theor.} { \bf 41} 255305）导出了传播子的分波展开，并将其与一些已知的近似进行了比较，包括半经典Van Vleck-Gutzwiller（VG）传播子; VG传播子被完全数值地评估。在这里，我们指出，VG传播的粒子球问题承认一个解析表达式的初等函数。
英文摘要：
There is no known exact expression for the propagator of a non-relativistic particle colliding with a hard sphere. De Prunelé (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.
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