Resonances in the two centers Coulomb system

Marcello Seri

Resonances in the two centers Coulomb system

Research output: Thesis › Thesis fully external

Abstract

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.

Original language	English
Qualification	Doctor of Philosophy
Awarding Institution	University of Erlangen-Nuremberg Univ Bologna, University of Bologna, Dipartimento Matemat
Supervisors/Advisors	Knauf, Andreas, Supervisor, External person Esposti, Mirko Degli, Supervisor, External person
Award date	14-Sept-2012
Publication status	Published - 2012

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@phdthesis{e84c947a4fc84d02b1342b6e3456e80d,

title = "Resonances in the two centers Coulomb system",

abstract = "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 Schr{\"o}dinger 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.",

author = "Marcello Seri",

note = "URN: urn:nbn:de:bvb:29-opus-35468",

year = "2012",

language = "English",

type = "Thesis fully external",

school = "University of Erlangen-Nuremberg, Univ Bologna, University of Bologna, Dipartimento Matemat",

}

TY - THES

T1 - Resonances in the two centers Coulomb system

AU - Seri, Marcello

N1 - URN: urn:nbn:de:bvb:29-opus-35468

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

UR - https://opus4.kobv.de/opus4-fau/frontdoor/index/index/docId/2385

M3 - Thesis fully external

ER -

Resonances in the two centers Coulomb system

Abstract

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