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Product rule for gauge invariant Weyl symbols and its application to the semiclassical description of guiding center motion

Michael Mueller
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Abstract

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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Michael Mueller. 1998-11-20. Product rule for gauge invariant Weyl symbols and its application to the semiclassical description of guiding center motion. https://doi.org/10.1088/0305-4470%2F32%2F6%2F014

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