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时间相关外场中量子系统的辛算法
Symplectic Integrators in Quantum Systems with Time-dependent External Fields
【摘要】 引入辅助变量将时间相关外场中量子系统的显含时间哈密顿系统转换成不显含时间的可分哈密顿系统,给出了任意阶精度的显式辛格式,计算了一维有限宽无限深势阱中的电子与模拟激光场的相互作用,结果与理论分析一致,且很好地保持了波函数模方归一,表明该方法适于计算激光场与原子的相互作用.
【Abstract】 In a quantum system,when the Hamiltonian operator is time\|dependent,"artificial" variables are introduced to construct the symplectic integrators with arbitrary high order accuracy.As an example,the time\|evolution of an electron in the infinite deep potential well interacting with an animated laser field is investigated.The computed results coincide with the theory and can preserve the norm,which show that the methods are reasonable.
【基金】 国家自然科学基金(10074019,10171039);国家重大基础研究专项经费(G1999032804)资助项目.
- 【文献出处】 计算物理 ,Chinese Journal of Computation Physics , 编辑部邮箱 ,2003年02期
- 【分类号】O413.1
- 【被引频次】5
- 【下载频次】95