【作者】 沈惠川； 韦世强；

【Author】 Shen Huichuan~1 Wei Shiqiang~2 (1.The Center of Statistical Mechanics in Department of Astronomy and Applied Physics,University of Science and Technology of China Hefei 230026 2.Natioual Synchrotron Radiation Laboratory,University of Science and Technology of China Hefei 230029)

【机构】 中国科学技术大学天文与应用物理系统计力学中心； 中国科学技术大学国家同步辐射实验室；

【摘要】 利用 Poisson 括号的正则不变性和文[1]中“化动量正则变换”的一般方法,求得了 Liouville 方程的四类中心力场问题精确解：(1)指数势系统,(2)Morse 势系统,(3) Hulthén 势系统,(4)Woods-Saxon 势系统。更多还原

【Abstract】 Foar exact solntions of Liouville equation for central force-field problems have been obtained by the canonical invariability of poisson’s bracket and a general method of canonical transformations of turning Hamiltonian into momentum.These solutions are giren with respect to the exponent potential,the Morse potential,the Hulthén potential and the woods-saxon potential.Some physical applications of our resalts are briefly discussed.更多还原