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

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.

References in corpus (2)

• Deformation Expression for Elements of Algebras (I) --(Jacobi's theta functions and *-exponential functions)--
• Deformation Expression for Elements of Algebras (III) --Generic product formula for *-exponentials of quadratic forms--

Cited by in corpus (1)

• Deformation Expression for Elements of Algebras (VII) --Vacuum/Pseudo-vacuum Representations--