04.02. Department of Mathematics

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Author:  Erman, Fatih

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Issue DateTitleAuthor(s)
1Mar-2022A direct method for the low energy scattering solution of delta shell potentialsErman, Fatih ; Seymen, Sema
2Apr-2012Existence of Hamiltonians for some singular interactions on manifoldsDoğan, Çağlar; Erman, Fatih ; Turgut, Osman Teoman
32020Green's function formulation of multiple nonlinear Dirac delta-function potential in one dimensionErman, Fatih ; Uncu, Haydar
4Feb-2013A many-body problem with point interactions on two-dimensional manifoldsErman, Fatih ; Turgut, O. Teoman
52012Non-relativistic Lee model in two-dimensional Riemannian manifoldsErman, Fatih ; Turgut, Osman Teoman
6Aug-2014Nondegeneracy of the ground state for nonrelativistic Lee modelErman, Fatih ; Malkoç, Berkin; Turgut, Osman Teoman
7Mar-2018On scattering from the one-dimensional multiple Dirac delta potentialsErman, Fatih ; Gadella, Manuel; Uncu, Haydar
82023On Schrödinger operators modified by δ interactionsAkbaş, Kaya Güven; Erman, Fatih ; Turgut, O. Teoman
9Jan-2017On the number of bound states of point interactions on hyperbolic manifoldsErman, Fatih 
102018On the number of bound states of semirelativistic Hamiltonian with Dirac delta potentials in one dimensionErman, Fatih 
112017One-dimensional semirelativistic Hamiltonian with multiple Dirac delta potentialsErman, Fatih ; Gadella, Manuel; Uncu, Haydar
12May-2019A perturbative approach to the tunneling phenomenaErman, Fatih ; Turgut, Osman Teoman
132020The propagators for δ and δ′ potentials with time-dependent strengthsErman, Fatih ; Gadella, Manuel; Uncu, Haydar
14Dec-2022Rank one perturbations supported by hybrid geometries and their deformationsErman, Fatih ; Seymen, Sema; Turgut, O. Teoman
152016Recursion formula for the Green's function of a Hamiltonian for several types of Dirac delta-function potentials in curved spacesErman, Fatih 
16Sep-2017Renormalization of Dirac delta potentials through minimal extension of Heisenberg algebraErman, Fatih 
17Aug-2017A singular one-dimensional bound state problem and its degeneraciesErman, Fatih ; Gadella, Manuel; Tunalı, Seçil; Uncu, Haydar
182003Solitonic solutions and particle localization in higher dimensional spacesErman, Fatih