Fermionization, Triangularization and Integrability
Li-Qiang Cai, Li-Fang Wang, Jian-Feng Wu, Jie Yang, Ming Yu
TL;DR
This paper develops a fermionic formalism for Hamiltonians of Calogero-Sutherland, Laughlin, and Halperin systems, analyzes their triangular properties, and proves their integrability.
Contribution
It introduces a unified fermionic framework for these models and establishes their integrability through triangularity analysis.
Findings
Fermionic formalism for CS, Laughlin, and Halperin Hamiltonians
Proof of integrability for all three systems
Identification of triangular properties of the Hamiltonians
Abstract
In this article, we derive the fermionic formalism of Hamiltonians as well as corresponding excitation spectrums and states of Calogero-Sutherland(CS), Laughlin and Halperin systems, respectively. In addition, we study the triangular property of these Hamiltonians and prove the integrability in these three cases.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Quantum Mechanics and Non-Hermitian Physics · Nonlinear Waves and Solitons