SIGMA 22 (2026), 098, 18 pages      arXiv:2609.39951      https://doi.org/10.3842/SIGMA.2026.098
Contribution to the Special Issue on Geometry and Dynamics in memory of Will Merry

Spectral Numbers in Tate Rabinowitz Floer Homology

Kai Cieliebak and Urs Frauenfelder
Universität Augsburg, Universitätsstr. 2, 86159 Augsburg, Germany

Received February 15, 2026, in final form September 30, 2026; Published online October 14, 2026

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.

Key words: Rabinowitz Floer homology; spectral numbers; quantized energy values; harmonic oscillator.

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