TL;DR
This paper explores hidden parasupersymmetry structures in bosonic quantum mechanics on compact equilateral graphs, revealing algebraic symmetries behind spectral degeneracies.
Contribution
It uncovers the presence of Huang-Su parasupersymmetry algebra in bosonic quantum graphs, a novel insight into their spectral properties.
Findings
Identification of parasupersymmetry in quantum graphs
Spectral degeneracies explained by algebraic structures
Extension of supersymmetry concepts to graph-based systems
Abstract
We study hidden parasupersymmetry structures in purely bosonic quantum mechanics on compact equilateral graphs. We consider a single free spinless particle on the graphs and show that the Huang-Su parasupersymmetry algebra is hidden behind degenerate spectra.
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