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Spectral and scattering properties of point interactions

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dc.contributor Graduate Program in Physics.
dc.contributor.advisor Turgut, Osman Teoman.
dc.contributor.author Altunkaynak, İsmet Barış.
dc.date.accessioned 2023-03-16T10:37:37Z
dc.date.available 2023-03-16T10:37:37Z
dc.date.issued 2005.
dc.identifier.other PHYS 2005 A45
dc.identifier.uri http://digitalarchive.boun.edu.tr/handle/123456789/13661
dc.description.abstract Point interactions in all relevant dimensions are important to model short rangeinteractions in quantum mechanics. They are exactly solvable and play an important role in solid state, nuclear and atomic physics. In this thesis, we investigate point interactions on flat space and on a general compact manifold in two and three dimensions.The problem contains divergences and they can be renormalized using the couplingconstant renormalization method. We derive the properties of the bound states, provethat the resolvent operator that we have found defines a Hamiltonian, and calculatescattering cross sections. We repeat some of our calculations on a general compactRiemannian manifold and solve the same problem on a sphere and hyperbolic planesH2 and H3. At the end we give some numerical examples.
dc.format.extent 30cm.
dc.publisher Thesis (M.S)-Bogazici University.Institute for Graduate Studies in Science and Engineering, 2005.
dc.subject.lcsh Surfaces (Technology)
dc.subject.lcsh Special relativity (Physics)
dc.title Spectral and scattering properties of point interactions
dc.format.pages vi, 54 leaves;


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