3 papers
math-ph2026
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…
quant-ph2025
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…
quant-ph2024
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…