Work

Spectral Numbers in Tate Rabinowitz Floer Homology

Year: 2026

Type: article

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.

Source: Symmetry Integrability and Geometry Methods and Applications

DOI: 10.3842/sigma.2026.098

Authors: Kai Cieliebak, Urs Frauenfelder

Institution: University of Augsburg

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7215108717

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