• Atoms confined by very thin layers 

      Autor: Tušek M.
      (American Institute of Physics, 2014)
      The Hamiltonian of an atom with N electrons and a fixed nucleus of infinite mass between two parallel planes is considered in the limit when the distance a between the planes tends to zero. We show that this Hamiltonian ...
    • The Magnetic Laplacian in Shrinking Tubular Neighborhoods of Hypersurfaces 

      Autor: Krejčiřík D.; Raymond N.; Tušek M.
      (Springer, 2015)
      The Dirichlet Laplacian between two parallel hypersurfaces in Euclidean spaces of any dimension in the presence of a magnetic field is considered in the limit when the distance between the hypersurfaces tends to zero. We ...