PreprintCC BY 4.0arXiv
Spectral properties of twisted soft waveguides
Abstract
We discuss a model of a soft waveguide described by Schrödinger operator whose potential is a twisted straight channel of non-circular profile. We show that a compactly supported twist makes the operator subcritical, the property being expressed in terms of a Hardy-type inequality. On the other hand, a periodic twist raises the essential spectrum and its local slowdown may give rise to isolated eigenvalues below the essential spectrum threshold.
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BibTeX
@misc{exner2026spectral,
title = {{Spectral properties of twisted soft waveguides}},
author = {Pavel Exner and David Spitzkopf},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.06558},
eprint = {2611.06558},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.06558},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Spectral properties of twisted soft waveguides
AU - Pavel Exner
AU - David Spitzkopf
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.06558
UR - https://arxiv.org/abs/2611.06558
AB - We discuss a model of a soft waveguide described by Schrödinger operator whose potential is a twisted straight channel of non-circular profile. We show that a compactly supported twist makes the operator subcritical, the property being expressed in terms of a Hardy-type inequality. On the other hand, a periodic twist raises the essential spectrum and its local slowdown may give rise to isolated eigenvalues below the essential spectrum threshold.
ER -