Year: 2026
Type: preprint
Abstract: We study the spectral properties of the harmonic modification of the quantum mechanical Kronig-Penney model motivated by the theory of the dressing chain. In particular, we show that in the special cases the corresponding ground states can be given explicitly and all spectral gaps have the same length with the ends expressed as zeros of the corresponding Weber-Hermite functions.
Source: arXiv (Cornell University)
Authors: Gibbons, J., Veselov, A. P.
Institutions: Imperial College London, Loughborough University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7215883939