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math-ph2026
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…
math.SP2026
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…