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arXiv · 1204.5566

Deformation Expression for Elements of Algebras (VI) --Vacuum representation of Heisenberg algebra--

Hideki Omori·Yoshiaki Maeda·Naoya Miyazaki·Akira Yoshioka
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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]=-ihδ_{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.

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Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki, Akira Yoshioka. 2012-04-25. Deformation Expression for Elements of Algebras (VI) --Vacuum representation of Heisenberg algebra--. https://arxiv.org/abs/1204.5566

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