本文在含时量子系统传播子的ABCD形式理论的基础上,进一步讨论原子激光这种品质因子不守恒系统的传输。利用准连续的原子激光在传输过程中所满足薛定谔方程,并引入某一方向的束宽、发散角、曲率半径和品质因子等光束传输参量来表征横向势能满足x和y分量相互独立的原子激光的传输。如果某一方向上品质因子也守恒,就可以通过解析不同过程品质因子守恒的充要方程,找到原子激光在各过程中ABCD形式的传播子。本文讨论原子激光在从玻色爱因斯坦凝聚体(BEC)中穿出过程,在磁化捕获器打开情况下的传输,以及在自由空间的传输这三个满足横向势能可分且各横向品质因子守恒条件的过程中ABCD形式的传播子。本文还将所运用的方法和所得结果与Yann等人的方法和结果进行了比较。

The propagation of the atom laser beam with non-conservation quality factor is discussed based on the theory of ABCD formulation of propagation of a time-dependent quantum system. The equation for the quasi-continuous atom laser beam wave-function is given by Schrodinger equation, the beam width, divergence curvature radius and quality factor were introduced to represent the atom laser beam whose transverse potential could be separated. For the conservative quality factor system in some direction, the propagator of ABCD formulation can be got. The propagation of the atom laser beam is discussed during the interacting with Bose-Einstein condensation (BEC), the propagation with the trap on and the free propagation with the trap off whose potential can be separated by x and y. Authors′ methods and results are compared with Yann′s.