4 papers
Perturbation Theory for Time-dependent Singular Quantum Systems
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…
On the Thermodynamic Limit of Bogoluibov's Theory of Bose Gas
Levent Akant, Ebru Dogan, Emine Ertugrul +1
Assuming that Bogoliubov's theory of weakly interacting dilute Bose gas defines a self-consistent model Hamiltonian, we investigate its thermodynamic limit as we take the volume to…
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…
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…