摘要
应用多尺度微扰理论,对于弱耦合常数的六次非简谐振子得到了其运动方程的经典和量子情况下的一阶解．与Taylor级数解不同的是,无论是在经典和量子解中频率移动出现在各阶表达式中,因此多尺度微扰理论是优于Taylor级数解的一种处理弱耦合常数非简谐振动的近似方法．
Classical and quantum oscillators of sextic anharmonicity are analytically solved up to the n-th power of ε（weak-coupling constant） by using the multiple-scale perturbation theory. Differing from Taylor series solution, the frequency shift appears in all orders of oscillations no matter it is in the classical or quantum case. So the multiple-scale perturbation theory is an approximate method to deal with the weak-coupled anharmonic oscillation and is better than the Taylor series approach.
出处
《高能物理与核物理》
EI
CSCD
北大核心
2006年第6期513-516,共4页
High Energy Physics and Nuclear Physics
关键词
六次非简谐振子
多尺度微扰理论
经典和量子解
sextic anharmonic oscillator, multiple-scale perturbation theory, classcial and quantum solution
