Extended pseudo-fermions from non commutative bosons

2013/09/03 by S. Twareque Ali, Syed Twareque Ali, Ali, Syed Twareque +5
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1309.0676

Journal of Mathematical Physics, in press

arxiv created 2013/09/03 · openalex publication_date 2013/09/03 · arxiv updated 2013/09/04 · openalex created_date 2022/08/23 · openalex updated_date 2026/07/28

Abstract

We consider some modifications of the two dimensional canonical commutation relations, leading to \em non commutative bosons and we show how biorthogonal bases of the Hilbert space of the system can be obtained out of them. Our construction extends those recently introduced by one of us (FB), modifying the canonical anticommutation relations. We also briefly discuss how bicoherent states, producing a resolution of the identity, can be defined.

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