Product rule for gauge invariant Weyl symbols and its application to the semiclassical description of guiding center motion
| dc.creator | Mueller, Michael | |
| dc.date | 1998-05-09 | |
| dc.date | 1998-11-20 | |
| dc.date.accessioned | 2026-07-07T10:55:04Z | |
| dc.date.available | 2026-07-07T10:55:04Z | |
| dc.description | 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. | |
| dc.description | 24 pages, RevTeX, no figures; shortened version will be published in J.Phys.A | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9805025 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9805025 | |
| dc.identifier | J.Phys.A32:1035-1052,1999 | |
| dc.identifier | doi:10.1088/0305-4470/32/6/014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/186003 | |
| dc.subject | Quantum Physics | |
| dc.title | Product rule for gauge invariant Weyl symbols and its application to the semiclassical description of guiding center motion | |
| dc.type | text |