摘要
质量和频率随时间变化的谐振子可描述许多物理系统,研究和求解含时系统在量子场论和量子光学中有重要的意义.本文用SU(1,1)李代数的方法求解了质量和频率随时间变化的谐振子系统.通过求解黎卡提方程,得到系统算符的系数.在相空间推导了体系传播子的计算公式.最后,计算了自由粒子、受重力场驱动、质量随周期变化和阻尼谐振子的传播子.
Many physical systems can be described by oscillator with time-dependent mass and frequency. Investigation and solution of time-dependent system are very important in quantum field as well as in quantum optics. We use SU(1,1) Lie-algebraic technique to investigate the harmonic oscillator with time-dependent mass and frequency and obtain the time evolution operator by solving Riccati equation. Than the formula of the system is derived in phase space. Finally, we obtain the propagator of oscillator of the free particle, driven by gravity, period mass and damped system.
作者
夏小建
陈文志
XIA Xiao-jian;CHEN Wen-zhi(School of Physics and Information Engineering, Quanzhou Normal College, Quanzhou, Fujian 362000, China)
出处
《大学物理》
2019年第1期32-36,共5页
College Physics
