Kızılkaya, Melih

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01. Izmir Institute of Technology
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  • Master Thesis
    Two-Particle Schrodinger Operators With Point Interactions
    (01. Izmir Institute of Technology, 2020) Kızılkaya, Melih; Erman, Fatih; Erman, Fatih; 01. Izmir Institute of Technology; 04.02. Department of Mathematics; 04. Faculty of Science
    In this thesis, a singular quantum mechanical problem, where two particles interact with each other through Dirac delta potentials in the plane, has been considered. The proof for the existence of a self-adjoint Hamiltonian operator for the model is given by using some operator theory techniques and renormalization idea in quantum field theory. Moreover, some necessary background for unbounded operators is reviewed in order to make the thesis as self-contained as possible.