title: Poincaré-Birkhoff theorem in quantum mechanics.
abstract: Quantum manifestations of the dynamics around resonant tori in perturbed hamiltonian systems, dictated by the Poincaré-Birkhoff theorem, are shown to exist. They are embedded in the interactions involving states which differ in a number of quanta equal to the order of the classical resonance. Moreover, the associated classical phase space structures are mimicked in the quasiprobability density functions and their zeros.
authors.affiliation: Departamento de Física and IFIBA, FCEyN, UBA Ciudad Universitaria, Pabellón 1, Ciudad Universitaria, 1428 Buenos Aires, Argentina.
authors.forename: D A
authors.initials: DA
authors.lastname: Wisniacki
authors.forename: M
authors.initials: M
authors.lastname: Saraceno
authors.forename: F J
authors.initials: FJ
authors.lastname: Arranz
authors.forename: R M
authors.initials: RM
authors.lastname: Benito
authors.forename: F
authors.initials: F
authors.lastname: Borondo