• THE AHARONOV-BOHM HAMILTONIAN WITH TWO VORTICES REVISITED 

      Autor: Košťáková , Petra; Stovicek , Pavel
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2016)
      We consider an invariant quantum Hamiltonian H = −ΔLB + V in the L2 space based on a Riemannian manifold ˜M with a discrete symmetry group Γ. To any unitary representation Λ of Γ one can relate another operator on M = ˜M ...
    • THREE-VARIABLE ALTERNATING TRIGONOMETRIC FUNCTIONS AND CORRESPONDING FOURIER TRANSFORMS 

      Autor: Bezubik , Agata; Pošta , Severin
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2016)
      The common trigonometric functions admit generalizations to any higher dimension, the symmetric, antisymmetric and alternating ones. In this paper, we restrict ourselves to three dimensional generalization only, focusing ...
    • TWO-DIMENSIONAL HYBRIDS WITH MIXED BOUNDARY VALUE PROBLEMS 

      Autor: Szajewska , Marzena; Tereszkiewicz , Agnieszka
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2016)
      Boundary value problems are considered on a simplex F in the real Euclidean space R2. The recent discovery of new families of special functions, orthogonal on F, makes it possible to consider not only the Dirichlet or ...