Guil Guerrero, Francisco José2023-06-202023-06-202007-030022-248810.1063/1.2710199https://hdl.handle.net/20.500.14352/51555©2007 American Institute of Physics.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.engjournal articlehttp://dx.doi.org/10.1063/1.2710199http://scitation.aip.orgopen access51-73Bloch electronsFlux phaseModulationFísica-Modelos matemáticosFísica matemática