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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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9 May 1998 | | Journal: | J.Phys. A32 (1999) 1053-1064 | | Subject: | quant-ph | | 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. | | Source: | arXiv, quant-ph/9805025 | | Services: | Forum | Review | PDF | Favorites | |
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