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Peer-reviewedCC BY-SA 4.0Symmetry, Integrability and Geometry: Methods and Applications

Spectral Numbers in Tate Rabinowitz Floer Homology

  • Kai Cieliebak1
  • Urs Frauenfelder1
  1. 1Universität Augsburg, Germany
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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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Cite

BibTeXRIS
BibTeX
@article{cieliebak2026spectral,
  title = {{Spectral Numbers in Tate Rabinowitz Floer Homology}},
  author = {Kai Cieliebak and Urs Frauenfelder},
  journal = {Symmetry, Integrability and Geometry: Methods and Applications},
  year = {2026},
  month = oct,
  doi = {10.3842/sigma.2026.098},
  url = {https://sigma-journal.com/2026/098/},
  note = {CC BY-SA 4.0},
}
RIS
TY  - JOUR
TI  - Spectral Numbers in Tate Rabinowitz Floer Homology
AU  - Kai Cieliebak
AU  - Urs Frauenfelder
PY  - 2026
DA  - 2026/10/14
JO  - Symmetry, Integrability and Geometry: Methods and Applications
DO  - 10.3842/sigma.2026.098
UR  - https://sigma-journal.com/2026/098/
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.
SN  - 1815-0659
ER  -