• Perturbações unitárias multiplicativas 

      Díaz, Pablo (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 24/05/2023)
      For the self-adjoint operator H, the perturbation H+A, with A also a self-adjoint operator, there is a long list of results regarding the spectrum of this perturbation. We study the spectrum of a multiplicative perturbation ...
    • Efeito Aharonov-Bohm: extensões auto-adjuntas e espalhamento 

      Pereira, Marciano (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 05/10/2009)
      In this work we present a study of topics related to the Aharonov-Bohm (AB) e®ect. Our framework is that of nonrelativistic quantum mechanics and we use the point of view of mathematical physics. (1) We study the solenoid ...
    • O átomo de hidrogênio em 1, 2 e 3 dimensões 

      Verri, Alessandra Aparecida (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 10/08/2007)
      In this work we study the Hamiltonian of the hydrogen atom in 1, 2 and 3 dimensions. Especifically, it is defined as a self-adjoint operator in the Hilbert space L2(Rn), n = 1, 2, 3. Nevertheless, the main goal is to study ...