SISSA Open Science

Browsing by Author "Gallone, Matteo"

Browsing by Author "Gallone, Matteo"

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  • Gallone, Matteo; Michelangeli, Alessandro (2017)
    The one-particle Dirac Hamiltonian with Coulomb interaction is known to be realised, in a regime of large (critical) couplings, by an infinite multiplicity of distinct self-adjoint operators, including a distinguished ...
  • Gallone, Matteo; Michelangeli, Alessandro; Pozzoli, Eugenio (SISSA, 2019)
    We classify the self-adjoint realisations of the Laplace-Beltrami operator minimally defined on an infinite cylinder equipped with an incom-plete Riemannian metric of Grushin type, in the non-trivial class of metrics yielding ...
  • Gallone, Matteo; Michelangeli, Alessandro (2018-08)
    Through the Kreĭn-Višik-Birman extension scheme, unlike the previous classical analysis based on von Neumann's theory, we reproduce the construction and classification of all self-adjoint realisations of two intimately ...
  • Gallone, Matteo; Michelangeli, Alessandro; Ottolini, Andrea (2017)
    The core results of the so-called KreIn-Visik-Birman theory of self-adjoint extensions of semi-bounded symmetric operators are reproduced, both in their original and in a more modern formulation, within a comprehensive ...
  • Gallone, Matteo; Michelangeli, Alessandro; Pozzoli, Eugenio (2018-09)
    We study the problem of so-called geometric quantum confinement in a class of two-dimensional incomplete Riemannian manifold with metric of Grushin type. We employ a constant-fibre direct integral scheme, in combination ...
  • Gallone, Matteo (SISSA, 2017-02)
    In this note we give a concise review of the present state-of-art for the problem of self-adjoint realisations for the Dirac operator with a Coulomb-like singular scalar potential V(x) = Ø(x)I4. We try to follow the ...
  • Gallone, Matteo; Michelangeli, Alessandro (SISSA, 2020)
    We produce a simple criterion and a constructive recipe to identify those self-adjoint extensions of a lower semi-bounded symmetric operator on Hilbert space which have the same lower bound as the Friedrichs extension. ...
  • Gallone, Matteo; Michelangeli, Alessandro (2020)
    We produce a simple criterion and a constructive recipe to identify those self-adjoint extensions of a lower semi-bounded symmetric operator on Hilbert space which have the same lower bound as the Friedrichs extension. ...
  • Gallone, Matteo; Michelangeli, Alessandro (2017-06)
    We derive a classification of the self-adjoint extensions of the three-dimensional Dirac-Coulomb operator in the critical regime of the Coulomb coupling. Our approach is solely based upon the KreĬn-Višik- Birman extension ...

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