23 citations · 177 across the 40 of their papers we have counts for
43 papers
BCS Gap Equation on Riemannian Manifolds: A Heat Kernel Analysis
Levent Akant, Emine Ertugrul, O. Teoman Turgut
In this paper, we investigate the Bardeen-Cooper-Schrieffer (BCS) theory of superconductivity formulated on a three dimensional Riemannian manifold. We derive the gap equation in t…
Renormalization of One-Dimensional Semirelativistic Bosons with Contact Interactions
Fatih Erman, O. Teoman Turgut
We study one-dimensional spinless bosons with semirelativistic spinless-Salpeter dispersion and attractive pairwise contact interactions. Because the dispersion becomes linear at l…
Perturbation Theory for Time-Dependent Point Interactions with Discrete Spectrum
Kaya Güven Akbaş, Fatih Erman, O. Teoman Turgut
We develop a perturbative framework for time-dependent point interactions in quantum systems with purely discrete unperturbed spectrum. In two and three dimensions the point intera…
Completeness of Energy Eigenfunctions for the Reflectionless Potential in Quantum Mechanics
F. Erman, O. T. Turgut
There are few exactly solvable potentials in quantum mechanics for which the completeness relation of the energy eigenstates can be explicitly verified. In this article, we give an…
Completeness Relation in Renormalized Quantum Systems
Fatih Erman, O. Teoman Turgut
In this work, we show that the completeness relation for the eigenvectors, which is an essential assumption of quantum mechanics, remains true if the Hamiltonian, having a discrete…
On Schrödinger Operators Modified by Interactions
Kaya Güven Akbaş, Fatih Erman, O. Teoman Turgut
We study the spectral properties of a Schrödinger operator modified by interactions and show explicitly how the poles of the new Green's function are rearranged relative…