Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/11147/7148

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Subject: search.filters.subject.Bound statesWoS Q: search.filters.wosQuartile.Q3

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    Citation - WoS: 1
    Citation - Scopus: 1
    Rank One Perturbations Supported by Hybrid Geometries and Their Deformations
    (American Institute of Physics, 2022) Erman, Fatih; Seymen, Sema; Turgut, O. Teoman
    We study the hybrid type of rank one perturbations in ℝ2 and ℝ3, where the perturbation supported by a circle/sphere is considered together with the delta potential supported by a point outside of the circle/sphere. The construction of a self-adjoint Hamiltonian operator associated with formal expressions for the rank one perturbation supported by a circle and by a point is explicitly given. Bound state energies and scattering properties for each problem are also studied. Finally, we consider the rank one perturbation supported by a deformed circle/sphere and show that the first order change in bound state energies under small deformations of the circle/sphere has a simple geometric interpretation.