25 citations · 158 across the 37 of their papers we have counts for
38 papers
Existence and absence of Bose-Einstein condensation in the interacting random Kac-Luttinger model
C. Boccato, J. Kerner, M. Pechmann +1
In this paper, we study interacting bosons at zero temperature in a random and higher-dimensional continuum model introduced by Kac and Luttinger. For weak interactions we prove th…
Ambarzumian-type theorems for Hermitian matrices with applications
Matthias Hofmann, Joachim Kerner
A foundational result in inverse spectral theory due to Ambarzumian (1929) states that the Neumann Laplacian on an interval is not isospectral to the Neumann Laplacian with an addi…
On the asymptotic behavior of the spectral gap for discrete Schrödinger operators
Matthias Hofmann, Joachim Kerner, Maximilian Pechmann
In this note we elaborate on the asymptotic behavior of the spectral gap of a class of discrete Schrödinger operators defined on a path graph in the limit of infinite volume. We co…
On Bose-Einstein condensation in interacting Bose gases in the Kac-Luttinger model
Chiara Boccato, Joachim Kerner, Maximilian Pechmann
We study interacting Bose gases of dimensions at zero temperature in a random model known as the Kac-Luttinger model. Choosing the pair-interaction between t…
Some spectral comparison results on infinite quantum graphs
Patrizio Bifulco, Joachim Kerner
In this paper we establish spectral comparison results for Schrödinger operators on a certain class of infinite quantum graphs, using recent results obtained in the finite setting.…
A note on Ambarzumian's theorem for quantum graphs
Patrizio Bifulco, Joachim Kerner
Based on the main result presented in a recent paper, we derive Ambarzumian-type theorems for Schrödinger operators defined on quantum graphs. We recover existing results such as t…