2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229096The Landau Hamiltonian, describing the behavior of a quantum particle in dimension 2 in a constant magnetic field, is perturbed by a magnetic field with power-like decay at infinity and a similar electric potential. We describe how the spectral subspaces change and how the Landau levels split under this perturbation.Spectral TheoryMathematical PhysicsAnalysis of PDEs35P20On the Spectral Properties of the Landau Hamiltonian Perturbed by a moderately Decaying Magnetic Fieldtext