• Resonances in the two centers Coulomb system
  • Seri, Marcello <1984>

Subject

  • MAT/07 Fisica matematica

Description

  • In this work we investigate the existence of resonances for two-centers Coulomb systems with arbitrary charges in two and three dimensions, defining them in terms of generalized complex eigenvalues of a non-selfadjoint deformation of the two-center Schrödinger operator. After giving a description of the bifurcation of the classical system for positive energies, we construct the resolvent kernel of the operators and we prove that they can be extended analytically to the second Riemann sheet. The resonances are then defined and studied with numerical methods and perturbation theory.

Date

  • 2012-09-14

Type

  • Doctoral Thesis
  • PeerReviewed

Format

  • application/pdf

Identifier

urn:nbn:it:unibo-4447

Seri, Marcello (2012) Resonances in the two centers Coulomb system, [Dissertation thesis], Alma Mater Studiorum Università di Bologna. Dottorato di ricerca in Matematica , 24 Ciclo. DOI 10.6092/unibo/amsdottorato/5075.

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