Manuscript Em03-D@1 · Em03-D-v1.tex · definition · 450d878a

Definition: Second-moment-dominated system states

The outgoing target and a controlled state class · lines 668–678

Em03-D@1#def:stateclass

For $C \geq 1$ , let $S_{C}$ consist of normal states in the regular Unruh representation of the completed two-channel Weyl algebra for which

ω (X (k)^{2}) \leq C ∥ k ∥_{U}^{2}

on its real weighted coefficient domain. The second moment includes any nonzero mean.

Displayed formulas in this passage