• Seminario "On the Hamiltonian describing two attractive non local δ´- interactions with equal strength" impartido por el Profesor Silvestro Fassari

  • Inicio: Jueves, 27 abril 13:00
    Fin: Jueves, 27 abril 14:30
  • Facultad de Ciencias. Universidad de Valladolid (Cie-UVa), Paseo de Belén, Valladolid, España
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    Seminario " On the Hamiltonian describing two attractive non local δ´-interactions with strength" impartido por el Profesor Silvestro Fassari, Departamento de Ciencias de la Ingeniería Universidad Guglielmo Marconi, Roma. 

    Día: 27 de abril

    Hora:13:00 h

    Lugar: Seminario B118, Facultad de Ciencias, Universidad de Valladolid 

     

    Abstract: By means of the procedure known as renormalisation of the coupling constant, we achieve in a rigorous way the definition of the self-adjoint Hamiltonian making sense of the merely heuristic expression involving two attractive nonlocal δ-interactions with equal strength symmetrically situated about the origin at a distance x0 > 0.

     We study in detail the discrete spectrum of such a self-adjoint Hamiltonian, Hsa(β, x0), showing that it consists of two negative eigenvalues (energy levels), and analyse their dependence on the two relevant parameters of the model. Finally, we analyse the behaviour of this Hamiltonian as 2x0the distance between the two centres, shrinks to zero.