波包的绝热和非绝热演化及其在初值表象中的应用
Adiabatic and non-adiabatic evolution of wave packets and applications to initial value representations
摘要：
我们回顾了伪微分型方程组（包括薛定谔方程组）的波包随时间演化的一些最新结果，并讨论了它们在相关幺正传播子近似中的应用.我们从标量方程开始，相干态的传播，以及应用到赫尔曼-克鲁克近似。然后，我们讨论了这些结果的扩展到系统的特征值的常重数或光滑交叉。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
