规范不变Weyl符号的乘积规则及其在导引中心运动半经典描述中的应用
Product rule for gauge invariant Weyl symbols and its application to the semiclassical description of guiding center motion
摘要：
我们推导出一个产品规则规范不变的外尔符号，它提供了一个推广的著名的Moyal公式的情况下，非零电磁场。应用我们的结果的指导中心的问题，我们扩展到一个渐进的幂级数的指导中心的哈密顿相对于普朗克常数$\hbar$和绝热参数已经存在于经典理论。这种扩展是用来确定量子力学效应的影响，引导中心的运动。
英文摘要：
We derive a product rule for gauge invariant Weyl symbols which provides a generalization of the well-known Moyal formula to the case of non-vanishing electromagnetic fields. Applying our result to the guiding center problem we expand the guiding center Hamiltonian into an asymptotic power series with respect to both Planck's constant $\hbar$ and an adiabaticity parameter already present in the classical theory. This expansion is used to determine the influence of quantum mechanical effects on guiding center motion.
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