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The Weyl algebra (W_{2m}[h]; *) is the algebra generated byu=(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 Heisenbergalgebra (\Cal H_{2m}[nu];*) is the algebra given by regarding the scalarparameter h in the Weyl algebra W_{2m}[h] to be a generator nu which commuteswith all others.

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