We consider the quantum completeness problem, ie the problem of confining quantum
particles, on a non-complete Riemannian manifold M equipped with a smooth measure …

Let us consider a particle in a domain Ω in Rd (d⩾ 2) in the presence of a magnetic field B.
We will always assume that the topological boundary∂ Ω:= Ω Ω of Ω is compact. At the …

Abstract We study H= D^* D+ VH= D∗ D+ V, where D is a first order elliptic differential
operator acting on sections of a Hermitian vector bundle over a Riemannian manifold M, and …

We consider the problem of quantum and stochastic confinement for drift-diffusion equations
on domains Ω⊂ R d. We obtain various sufficient conditions on the behavior of the …

We prove essential self-adjointness of Dirac operators with Lorentz scalar potentials which
grow sufficiently fast near the boundary ∂ Ω∂ Ω of the spatial domain Ω ⊂ R^ d Ω⊂ R d …

Um dos grandes problemas na modelagem matemática do efeito Aharonov-Bohm é a
interação do elétron com a fronteira do solenóide. Tal interação se traduz em condições de …

We study the Hamiltonian dynamics of a charged particle submitted to a pure magnetic field
in a two-dimensional domain. We provide conditions on the magnetic field in a …

Estudamos o modelo de efeito Aharonov-Bohm adicionando um potencial escalar no
Hamiltoniano inicial. Usando técnicas conhecidas de confinamento quântico …

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