28 citations · 125 across the 21 of their papers we have counts for
22 papers
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…
The Aron--Rueda zero-subspace problem
Nacib Albuquerque, Daniel M. Pellegrino, Anselmo Raposo
We determine the exact finite-dimensional threshold in the zero-subspace problem of Aron and Rueda for complex homogeneous polynomials. More precisely, for every and we det…
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…
The Harmonic Oscillator Potential Perturbed by a Combination of Linear and Non-linear Dirac Delta Interactions with Application to Bose-Einstein Condensation
Cenk Akyüz, Fatih Erman, Haydar Uncu
In this paper, we study the bound state analysis of a one dimensional nonlinear version of the Schrödinger equation for the harmonic oscillator potential perturbed by a potenti…