• 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 ...
    • Confinamento de partículas quânticas a curvas do espaço 

      Verri, Alessandra Aparecida (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 24/05/2010)
      In this work we study dimensional reductions in some quantum systems; such reductions occur due to confinement of the particle from a tube in space to a curve. Our main goal is to find the effective hamiltonian operator ...