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Wigner Oscillators, Twisted Hopf Algebras and Second Quantization

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arxiv 0804.2936 v1 pith:RWK5S25I submitted 2008-04-18 hep-th math-phmath.MP

P. G. Castro , B. Chakraborty , F. Toppan This is my paper · ORCID
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keywords algebrahopfalgebraicdeformedoscillatorspossiblestructureversion
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By correctly identifying the role of central extension in the centrally extended Heisenberg algebra h, we show that it is indeed possible to construct a Hopf algebraic structure on the corresponding enveloping algebra U(h) and eventually deform it through Drinfeld twist. This Hopf algebraic structure and its deformed version U^F(h) are shown to be induced from a more fundamental Hopf algebra obtained from the Schroedinger field/oscillator algebra and its deformed version, provided that the fields/oscillators are regarded as odd-elements of the super-algebra osp(1|2n). We also discuss the possible implications in the context of quantum statistics.

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  1. On the detectability of paraparticles beyond bosons and fermions

    math-ph 2024-11 conditional novelty 4.0 of 10

    The paper argues that Z2xZ2-graded paraparticles are theoretically detectable through two-particle observables, and sketches a minimal experimental protocol.

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