Master Degree / Yüksek Lisans Tezleri
Permanent URI for this collectionhttps://hdl.handle.net/11147/3008
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Master Thesis Travel Time in Quantum Theory and Ionization Times of Noble Gases(01. Izmir Institute of Technology, 2020) Güçlü, Alev Devrim; Güçlü, Alev Devrim; 04.05. Department of Pyhsics; 04. Faculty of Science; 01. Izmir Institute of TechnologyTime in Quantum mechanics, stands as an unresolved problem from the first time the theory was established to the present day. The present thesis consists of three main studies, in the first part, some time formulas that have been proposed in the past are included. In the second part, time is formulated by using David Bohm's "the guiding equation". In the third part, time formula has been applied to atomic potentials (He, Ar and Kr noble gases) for which time measurements done. It has been shown that the ionization time of the noble gases we have calculated gives results very compatible with the experiments.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 ScienceIn 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.