Parasupersymmetry in quantum graphs

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. ► Parasupersymmetry is hidden behind deg...

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Bibliographic Details
Published in:	Annals of physics Vol. 331; pp. 299 - 312
Main Author:	Ohya, Satoshi
Format:	Journal Article
Language:	English
Published:	New York Elsevier Inc 01-04-2013 Elsevier BV
Subjects:	Boundary conditions Graphs Holonomy Parasupersymmetry Quantum field theory Quantum graph Parasupersymmetry Boundary conditions Quantum graph Holonomy
Online Access:	Get full text
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Summary:	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. ► Parasupersymmetry is hidden behind degenerate spectra in equilateral quantum graphs. ►ZN cyclic symmetry transformation on the graphs plays the role of grading operator. ► We classified parasupersymmetry invariant boundary conditions. ► Cheon’s spiral holonomy appears along with spontaneous parasupersymmetry breaking.
ISSN:	0003-4916 1096-035X
DOI:	10.1016/j.aop.2013.01.007