PreprintarXiv licencearXiv
On spectrum of the harmonic Kronig-Penney model
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.
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BibTeX
@misc{gibbons2026spectrum,
title = {{On spectrum of the harmonic Kronig-Penney model}},
author = {J. Gibbons and A. P. Veselov},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.00879},
eprint = {2610.00879},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.00879},
}
RIS
TY - UNPB
TI - On spectrum of the harmonic Kronig-Penney model
AU - J. Gibbons
AU - A. P. Veselov
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.00879
UR - https://arxiv.org/abs/2610.00879
AB - 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.
ER -