2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218398We review recent results on the magnetic pseudo-differential calculus both in symbolic and in $C^*$-algebraic form. We also indicate some applications to spectral analysis of pseudo-differential operators with variable magnetic fields.Mathematical PhysicsOperator Algebras35S05, 47L15, 47L65, 47L90The magnetic formalism; new resultstext