Browsing Matemática - PPGM by Subject "Operador de Dirac"

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    • Grafeno multicamadas através de grafos quânticos periódicos: cones de Dirac 

      Rocha, Vinícius Lourenço da (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 06/03/2020)
      We study the spectral characterization and Dirac cones, always through periodic quantum graphs, in three situations. Firstly, we model bidimensional honeycomb materials, for instance, Graphene and Boron Nitride. We consider ...

    • Existence and multiplicity of solutions for problems involving the Dirac operator 

      Somavilla, Fernanda (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 30/07/2019)
      In this thesis, we study equations that involving the Dirac operator and which have the form $-i \alpha \cdot \nabla u + a \beta u + M(x)u = F_{u}(x,u), em \mathbb{R}^{3},$ where $\alpha = (\alpha_1, \alpha_2, \alpha_3),$ ...