结合Airy(艾里)函数对线性势场中微观粒子的运动规律进行了研究.在此基础上，结合边界条件、归一化关系求解 了线性势场和V型势场内粒子的波函数和能级结构.根据相对速度伽利略变换，研究了含时薛定谔方程的解———可积分的波 包在自由空间的动力学行为，求解出自由空间艾里波包的运动规律和量子力学中艾里波包的唯一性.

Combined with the Airy function and its basis properties, this article studies the microscopic motion of a wave packet of a particle in a linear potential field. The Schr?dinger equation for the linear potential and the V potential are solved to give the wave functions and the energy level structure of the particle. Then, in a free space, the free motion of Airy package is investigated in detail. The calculation reveals that a free Airy wave packet shows a self-acceleration in the free space. Finally, some experiments to show the strange evolution of Airy wave packet are demonstrated.