Publication: Electronic states on a lattice in periodic magnetic fields
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2007-03
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American Institute of Physics
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Abstract
The Hamiltonian for an electron in Z^2 , interacting with a perpendicular periodic magnetic field, is shown to be gauge equivalent to a periodic Hamiltonian. The wave function of the system is computed in terms of a ground state of the continuous motion in R2 for the Pauli Hamiltonian. Explicit expressions for the states, in both the Coulomb and Landau gauges, are considered.
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©2007 American Institute of Physics.
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