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

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

2012-04-25

arxiv.org/abs/1204.5566v1

Physics

Mathematical Physics

Scientific paper

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.

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