1204.5566 (Hideki Omori et al.)

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

Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki, Akira Yoshioka

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]=-ih\delta_{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.

View original: http://arxiv.org/abs/1204.5566