%0 Journal Article %A Guil Guerrero, Francisco José %T Electronic states on a lattice in periodic magnetic fields %D 2007 %@ 0022-2488 %U https://hdl.handle.net/20.500.14352/51555 %X 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. %~