3 papers
math-ph2019
On a condition for type-I Bose-Einstein condensation in random potentials in dimensions
Joachim Kerner, Maximilian Pechmann, Wolfgang Spitzer
In this paper we discuss Bose-Einstein condensation (BEC) in systems of pairwise non-interacting bosons in random potentials in dimensions. Working in a rather general framewor…
math-ph2019
Attractive conical surfaces create infinitely many bound states
Sebastian Egger, Joachim Kerner, Konstantin Pankrashkin
In this paper we study spectral properties of a three-dimensional Schrödinger operator with a potential given, modulo rapidly decaying terms, by a function of the distan…
math-ph2018
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…