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杨明炎, 梅凤翔, 郭永新. 力学系统的扩散运动及量子化[J]. 力学学报, 1998, 30(2): 203-212. DOI:10.6052/0459-1879-1998-2-1995-117
引用本文: 杨明炎, 梅凤翔, 郭永新. 力学系统的扩散运动及量子化[J]. 力学学报, 1998, 30(2): 203-212.DOI:10.6052/0459-1879-1998-2-1995-117
DIFFUSION MOTIONS AND QUANTIZATION OF MECHANICAL SYSTEMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1998, 30(2): 203-212. DOI:10.6052/0459-1879-1998-2-1995-117
Citation: DIFFUSION MOTIONS AND QUANTIZATION OF MECHANICAL SYSTEMS[J].Chinese Journal of Theoretical and Applied Mechanics, 1998, 30(2): 203-212.DOI:10.6052/0459-1879-1998-2-1995-117

力学系统的扩散运动及量子化

DIFFUSION MOTIONS AND QUANTIZATION OF MECHANICAL SYSTEMS

  • 摘要: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

    Abstract: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...

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