Abstract
The ∗-exponential function e∗tieav∗u is defined in a transcendently extended Weyl algebra. In the Weyl ordering expression, this is given as the real analytic solution in t of ∂tFt(u,v)=ieav{(u+ℏia2)Ft(u+ℏia2,v)−ℏi2∂vFt(u+ℏia2,v)},F0(u,v)=1.. For generic initial functions, this equation can be solved for all t, but the uniqueness holds only for one direction.
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