PreprintCC BY 4.0arXiv
Spectral Numbers in Tate Rabinowitz Floer Homology
Abstract
We show that circle-valued spectral values in Tate Rabinowitz Floer homology give rise to quantized energy levels, which recover the quantum mechanical spectrum of a system of uncoupled harmonic oscillators.
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BibTeX
@misc{cieliebak2026spectral,
title = {{Spectral Numbers in Tate Rabinowitz Floer Homology}},
author = {Kai Cieliebak and Urs Frauenfelder},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.39951},
eprint = {2609.39951},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.39951},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Spectral Numbers in Tate Rabinowitz Floer Homology
AU - Kai Cieliebak
AU - Urs Frauenfelder
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2609.39951
UR - https://arxiv.org/abs/2609.39951
AB - We show that circle-valued spectral values in Tate Rabinowitz Floer homology give rise to quantized energy levels, which recover the quantum mechanical spectrum of a system of uncoupled harmonic oscillators.
ER -