Manuscript Em03-H@8 · Em03-H-v8.tex · section · 91e9e3bd

Exact signed extraction and its reached space

Exact signed extraction and its reached space · lines 746–761

Target A extracts under

H_{ext, m} (u) = Ω N_{tot} + κ (u) G_{hop}, Θ (u) = \int_{0}^{u} κ (s) d s .

Since $[N_{tot}, G_{hop}] = 0$ ,

U_{ext, m} (u) = e^{- i Ω u N_{tot}} e^{- i Θ (u) G_{hop}} .

For disjoint $L, T$ , define $I (L, T) = # {(t, l) : t \in T, l \in L, t < l}$ .

Displayed formulas in this passage

unlabeled · line 750
$H_{ext, m} (u) = Ω N_{tot} + κ (u) G_{hop}, Θ (u) = \int_{0}^{u} κ (s) d s .$
unlabeled · line 755
$U_{ext, m} (u) = e^{- i Ω u N_{tot}} e^{- i Θ (u) G_{hop}} .$