Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/11053
Title: Two-particle Schrodinger operators with point interactions
Other Titles: Noktasal etkileşim içeren iki-parçacıklı Schrödinger işlemcileri
Authors: Erman, Fatih
Kızılkaya, Melih
Izmir Institute of Technology
Keywords: Quantum mechanics
Schrödinger operator
Operator theory
Point interactions
Issue Date: Dec-2020
Publisher: Izmir Institute of Technology
Source: Kızılkaya, M. (2020). Two-particle Schrodinger operators with point interactions. Unpublished master's thesis, İzmir Institute of Technology, İzmir, Turkey
Abstract: 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.
Bu tezde, iki parçacıgın düzlemde birbirleriyle Dirac delta potensiyeliyle etkileştiği tekil bir kuantum mekaniği problemi ele alınmıştır. Bazı operator teorisi teknikleri ve Kuantum alan teorisindeki renormalizasyon fikri kullanılarak, model için kendine eşlenik bir Hamiltoniyen operatünün var olduğunun ispatı verilmiştir. Ayrıca, tezin sadece kendi başına yeterli olabilmesi amacıyla, sınırlı olmayan operatorler için bazı gerekli olan alt yapı derlenecektir.
Description: Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2020
Includes bibliographical references (leaves: 142-147)
Text in English; Abstract: Turkish and English
URI: https://hdl.handle.net/11147/11053
Appears in Collections:Master Degree / Yüksek Lisans Tezleri

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