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Model pseudofermionic systems: Connections with exceptional points

2014/02/25 by Fabio Bagarello, F. Bagarello, F. Gargano +1
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Calculus (dental) #Computer science #Connection (principal bundle) #Geometry #Mathematics #Pure mathematics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #math-ph #math.MP

paper · pdf · doi:10.1103/physreva.89.032113

in press in Phys. Rev. A

arxiv created 2014/02/25 · openalex publication_date 2014/03/11 · arxiv updated 2015/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We discuss the role of pseudofermions in the analysis of some two-dimensional models, recently introduced in connection with non-self-adjoint Hamiltonians. Among other aspects, we discuss the appearance of exceptional points in connection with the validity of the extended anticommutation rules which define the pseudofermionic structure.

Citations