论文标题
波数据包的绝热和非绝热演变以及对初始价值表示的应用
Adiabatic and non-adiabatic evolution of wave packets and applications to initial value representations
论文作者
论文摘要
我们回顾了波数据包在伪差异类型方程系统的时间演变中获得的一些最新结果，包括schr {Ö} dinger，并讨论它们在相关统一传播器的近似值中的应用。我们从标量方程，相干状态的传播以及对Herman-Kluk近似的应用。然后，我们讨论了这些结果的扩展到具有恒定多重性或平滑横梁的特征值的系统。
We review some recent results obtained for the time evolution of wave packets for systems of equations of pseudo-differential type, including Schr{ö}dinger ones, and discuss their application to the approximation of the associated unitary propagator. We start with scalar equations, propagation of coherent states, and applications to the Herman-Kluk approximation. Then we discuss the extension of these results to systems with eigenvalues of constant multiplicity or with smooth crossings.
