关于质点的自由降落和在反射面上的反弹的注记
Notes on free fall of a particle and bouncing on a reflecting surface
摘要：
利用激光辐射产生的光压力来控制自由原子粒子的运动，近年来已取得了相当大的进展。在均匀引力场作用下，准共振激光束在玻璃曲面上反射形成倏逝波，在反射面上观察到原子的自由降落和反弹。本文利用渐近展开方法给出了该系统的能量量子化。结果表明，对于大的$n$的水平去像$n^{2/3}$，这可以与$n^2$的无限方形阱。
英文摘要：
Considerable progress has recently been made in controling the motion of free atomic particles by means of light pressure exerted by laser radiation. The free fall of atoms and bouncing on a reflecting surface made from evanescent wave formed by internal reflection of a quasiresonant laser beam at a curved glass surface in the presence of homogeneous gravitational field has been observed. In this paper we present the energy quantization of this system by making use the asymptotic expansion method. It is shown that for large $n$ the levels go like $n^{2/3}$ which may be compared with $n^2$ for the infinite square well.
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