5 citations · 17 across the 10 of their papers we have counts for
11 papers
Defining the spectral position of a Neumann domain
Ram Band, Graham Cox, Sebastian Egger
A Laplacian eigenfunction on a two-dimensional Riemannian manifold provides a natural partition into Neumann domains (a.k.a. a Morse--Smale complex). This partition is generated by…
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…
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…
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…
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…
The Spectral Position of Neumann domains on the torus
Ram Band, Sebastian K. Egger, Alexander Taylor
Neumann domains of Laplacian eigenfunctions form a natural counterpart of nodal domains. The restriction of an eigenfunction to one of its nodal domains is the first Dirichlet eige…