大学物理 ›› 2014, Vol. 33 ›› Issue (9): 9-9.

• 著者文摘 • 上一篇    下一篇

含时量子体系的规范变换求解及其应用

丁志刚 李欣梦   

  1. 南京理工大学紫金学院,江苏南京210046
  • 出版日期:2014-09-25 发布日期:2014-09-20

Gauge transformation approach of time-dependent quantum system and application

  • Online:2014-09-25 Published:2014-09-20

摘要: 利用规范变换来求解具有SU(2)代数结构的含时量子体系.首先严格求解了均匀旋转磁场中的1/2自旋粒子模型;其次求解了光场驱动的二能级体系,计算了高阶近似和非绝热效应,通过这种逐次逼近的方法可以实现绝热解向严格解的过渡.

关键词: 规范变换, 含时量子体系, 二能级体系

Abstract: A gauge transformation approach is used to resolve the Schrodinger equation for time-dependent quantum systems. We first make use of this method to solve the known model of spin 1/2 system in a rotation magnetic field. Second, we apply the approach to a laser-driven two-level system. We calculate the high-order approximation and nonadiabatic effects of the system, through this method of successive approximation we realize the transition of adiabatic solution to the strict solution.

Key words: gauge transformation, time-dependent quantum system, two-level system

中图分类号: 

  • O413.1