力学系统的扩散运动及量子化

研究位形由扩散过程定义的力学系统．利用变分的路径计算给出系统广义坐标表示的动力学方程，该方程连同连续方程描述系统量子波动随时间演化的概率进程．文末的表示定理指出，在满足适当正规条件的扩散过程和Ｓｃｈｒｄｉｎｇｅｒ方程的解（波函数）之间存在一一对应关系

DIFFUSION MOTIONS AND QUANTIZATION OF MECHANICAL SYSTEMS

Stochastic mechanics has gradually drawn much attention in the area of physics and mechanics since it was established by Nelson in 1966. In stochastic mechanics, quantum fluctuational phenomena are described in terms of diffusion processes instead of wave functions. The importance of stochastic mechanics can be shown from the fact that stochastic mechanics and orthodox quantum mechanics make the same predictions for the same position measurements. Since all measurements ultimately consist of position on...