摘要
利用Poisson括号的正则不变性求得了Liouville方程的八类精确解:1)“重力”势系统,2)谐振系统,3)正负平方幂函数势系统,4)双曲函数势系统,5)三角函数势系统,6)PschlTeller势系统,7)“引(斥)力”势系统和8)Kratzer势系统.得到了“化动量正则变换”的一般方法.在求解后两个系统Liouville方程的过程中还应用了Routh方法和Binet方法.
By means of a canonical transformation technique for changing the Hamiltonian into a generalized momentum, exact solutions of Liouville equation have been obtained for systems in the following force fields or potentials: 1) the constant force field, 2) linear restoring force field, 3) square plus inverse\|square function potential, 4) hyperbolic function potential, 5) trigonometric function potential, 6) Pschl\|Teller potential, 7) Coulomb potential, and 8) the Kratzer potential.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2000年第2期201-209,共9页
Acta Physica Sinica
