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math-ph2018★ 5 cited
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…
math.SP2018
Neumann Domains on Graphs and Manifolds
Lior Alon, Ram Band, Michael Bersudsky +1
The nodal set of a Laplacian eigenfunction forms a partition of the underlying manifold or graph. Another natural partition is based on the gradient vector field of the eigenfuncti…