Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-09-05
J.Phys.A30:2163-2180,1997
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX (epsfig macros), 27 pages, 2 figures included
Scientific paper
10.1088/0305-4470/30/6/036
A quantal guiding center theory allowing to systematically study the separation of the different time scale behaviours of a quantum charged spinning particle moving in an external inhomogeneous magnetic filed is presented. A suitable set of operators adapting to the canonical structure of the problem and generalizing the kinematical momenta and guiding center operators of a particle coupled to a homogenous magnetic filed is constructed. The Pauli Hamiltonian rewrites in this way as a power series in the magnetic length $l_B= \sqrt{\hbar c/eB}$ making the problem amenable to a perturbative analysis. The first two terms of the series are explicitly constructed. The effective adiabatic dynamics turns to be in coupling with a gauge filed and a scalar potential. The mechanism producing such magnetic-induced geometric-magnetism is investigated in some detail.
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