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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
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…
math-ph2018
An asymptotic expansion of the trace of the heat kernel of a singular two-particle contact interaction in one dimension
Sebastian Egger
The regularized trace of the heat kernel of a one-dimensional Schrödinger operator with a singular two-particle contact interaction being of Lieb-Liniger type is considered. We der…