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arXiv · hep-th/9609042

Quantum Charged Spinning Particles in a Strong Magnetic Field (a Quantal Guiding Center Theory)

P. Maraner
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Abstract

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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P. Maraner. 1996-09-05. Quantum Charged Spinning Particles in a Strong Magnetic Field (a Quantal Guiding Center Theory). https://doi.org/10.1088/0305-4470%2F30%2F6%2F036

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