Non-Abelian Monopole in the Parameter Space of Point-like Interactions
arXiv:1406.4857 · doi:10.1016/j.aop.2014.10.013
Abstract
We study non-Abelian geometric phase in supersymmetric quantum mechanics for a free particle on a circle with two point-like interactions at antipodal points. We show that non-Abelian Berry's connection is that of magnetic monopole discovered by Moody, Shapere and Wilczek in the context of adiabatic decoupling limit of diatomic molecule.
arXiv comment15 pages, 3 tikz figures; minor corrections
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Cited by in corpus (9)
- Effects of Two Successive Parity-Invariant Point Interactions on One-Dimensional Quantum Transmission: Resonance Conditions for the Parameter Space
- Resonant Transmission in One-Dimensional Quantum Mechanics with Two Independent Point Interactions: Full Parameter Analysis
- Bloch vector, disclination and exotic quantum holonomy
- BPS Monopole in the Space of Boundary Conditions
- Extended supersymmetry with central charges in Dirac action with curved extra dimensions
- 5d Dirac fermion on quantum graph
- Extended supersymmetry with central charges in higher dimensional Dirac action
- Instantons and Berry's connections on quantum graph
- Correspondence of topological classification between quantum graph extra dimension and topological matter