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O átomo de hidrogênio em 1, 2 e 3 dimensões
(Universidade Federal de São Carlos, 2007-08-10)
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
(Universidade Federal de São Carlos, 2010-05-24)
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 ...