Properties and application of SO(3) Majorana representation of spin: Equivalence with Jordan-Wigner transformation and exact Z2 gauge theories for spin models
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DOI: 10.1103/physrevb.98.214432
Abstract: We explore the properties of the SO(3) Majorana representation of spin. Based on its non-local nature, it is shown that there is an equivalence between the SO(3) Majorana representation and the Jordan-Wigner transformation in one… read more here.
Keywords: spin; majorana representation; jordan wigner; wigner transformation ... See more keywords
The Wigner transformation associated with the Hankel multidimensional operator
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DOI: 10.1515/gmj-2023-2018
Abstract: Abstract We consider the Hankel multidimensional operator Δ α \Delta_{\alpha} , α = ( α 1 , … , α n ) ∈ ] − 1 2 , + ∞ [ n \alpha=(\alpha_{1},\dots,\alpha_{n})\in\mathopen{]}-\frac{1}{2},+\infty\mathclose{[}^{n} , defined… read more here.
Keywords: hankel multidimensional; wigner transformation; alpha; multidimensional operator ... See more keywords