弱激光驻波场作用下的无反射势阱

Reflectionless Potential Well Affected by a Standing Laser Field

研究弱激光驻波场中的无反射势阱 .利用直接微扰法 ,导出该系统非齐次Schr dinger方程的积分形式的精确解 .分析和数值研究发现 ,该解满足波函数有界的条件 ,但不能表示成初等函数的有限形式 。

The reflectionless potential well affected by a standing laser field is studied. By using a direct perturbation method, the exact solutions of the non homogeneous Schrdinger equations in the integral form are derived. The analytical and numerical studies show that these exact solutions satisfy the boundedness conditions for the wave functions, but cannot be expressed in finite forms of elementary functions. This leads to the incomputability of the corrected wave functions.