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Two-Particle Schrodinger Operators With Point Interactions
(01. Izmir Institute of Technology, 2020) Kızılkaya, Melih; Erman, Fatih
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.

Master Degree / Yüksek Lisans Tezleri