25 citations · 158 across the 37 of their papers we have counts for
7 papers · 1 filter
On the number of isolated eigenvalues of a pair of particles in a quantum wire
Joachim Kerner
In this note we consider a pair of particles moving on the positive half-line with the pairing generated by a hard-wall potential. This model was first introduced in [arXiv:1604.06…
Bound states of a pair of particles on the half-line with a general interaction potential
Sebastian Egger, Joachim Kerner, Konstantin Pankrashkin
In this paper we study an interacting two-particle system on the positive half-line. We focus on spectral properties of the Hamiltonian for a large class of two-particle potentials…
On Bose-Einstein condensation in the Luttinger-Sy model with finite interaction strength
Joachim Kerner, Maximilian Pechmann, Wolfgang Spitzer
We study Bose-Einstein condensation (BEC) in the Luttinger-Sy model. Here, Bose point particles in one spatial dimension do not interact with each other, but, through a positive (r…
Many-particle quantum graphs: A review
Jens Bolte, Joachim Kerner
In this paper we review recent work that has been done on quantum many-particle systems on metric graphs. Topics include the implementation of singular interactions, Bose-Einstein…
On Lennard-Jones-type potentials on the half-line
Federica Gregorio, Joachim Kerner
In this paper we study a particle under the influence of a Lennard-Jones potential moving in a simple quantum wire modelled by the positive half-line. Despite its physical signific…
Bose--Einstein condensation in the Luttinger--Sy model with contact interaction
Joachim Kerner, Maximilian Pechmann, Wolfgang Spitzer
We study bosons on the real line in a Poisson random potential (Luttinger--Sy model) with contact interaction in the thermodynamic limit at absolute zero temperature. We prove that…