Fermionization of two-component few-fermion systems in a one-dimensional harmonic trap

EJ Lindgren, J Rotureau, C Forssén… - New Journal of …, 2014 - iopscience.iop.org
The nature of strongly interacting Fermi gases and magnetism is one of the most important
and studied topics in condensed-matter physics. Still, there are many open questions. A …

Spectroscopy of a one-dimensional V-shaped quantum well with a point impurity

S Fassari, M Gadella, ML Glasser, LM Nieto - Annals of Physics, 2018 - Elsevier
We consider the one-dimensional Hamiltonian with a V-shaped potential H 0= 1 2− d 2 dx
2+| x|, decorated with a point impurity of either δ-type, or local δ′-type or even nonlocal δ …

Spectral properties of a symmetric three-dimensional quantum dot with a pair of identical attractive δ-impurities symmetrically situated around the origin

S Albeverio, S Fassari, F Rinaldi - Наносистемы: физика, химия …, 2016 - cyberleninka.ru
In this presentation, we wish to provide an overview of the spectral features for the self-
adjoint Hamiltonian of the three-dimensional isotropic harmonic oscillator perturbed by …

Weakly bound states of two-and three-boson systems in the crossover from two to three dimensions

MT Yamashita, FF Bellotti, T Frederico… - Journal of Physics B …, 2014 - iopscience.iop.org
The spectrum and properties of quantum bound states is strongly dependent on the
dimensionality of space. How this comes about and how one may theoretically and …

Universal two-body spectra of ultracold harmonically trapped atoms in two and three dimensions

NT Zinner - Journal of Physics A: Mathematical and Theoretical, 2012 - iopscience.iop.org
We consider the spectrum of two ultracold harmonically trapped atoms interacting via short-
range interactions. The Green function approach is used to unify the two-and three …

Convergence properties of the effective theory for trapped bosons

S Tölle, HW Hammer, BC Metsch - Journal of Physics G: Nuclear …, 2013 - iopscience.iop.org
We investigate few-boson systems with resonant interactions in a narrow harmonic trap
within an effective theory framework. The size of the model space is identified with the …

On the spectrum of the Schr\" odinger Hamiltonian of the one-dimensional conic oscillator perturbed by a point interaction

S Fassari, M Gadella, ML Glasser, LM Nieto - arXiv preprint arXiv …, 2017 - arxiv.org
We decorate the one-dimensional conic oscillator $\frac {1}{2}\left [-\frac {d^{2}}{dx^{2}}+\left|
x\right|\right] $ with a point impurity of either $\delta $-type, or local $\delta'$-type or even …