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25 April 2024

» arxiv » 1204.5566

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Deformation Expression for Elements of Algebras (VI) --Vacuum representation of Heisenberg algebra--
Hideki Omori ; Yoshiaki Maeda ; Naoya Miyazaki ; Akira Yoshioka ;
Date:	25 Apr 2012
Abstract:	The Weyl algebra (W_{2m}[h]; ) is the algebra generated by u=(u_1,...,u_m,v_1,.....,v_m) over C with the fundamental commutation relation [u_i,v_j]=-ihdelta_{ij}, where h is a positive constant. The Heisenberg algebra (Cal H_{2m}[nu];) is the algebra given by regarding the scalar parameter h in the Weyl algebra W_{2m}[h] to be a generator nu which commutes with all others.
Source:	arXiv, 1204.5566
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