Manuscript Em03-G@1 · Em03-G-v1.tex · section · 0bb3a8a3

The exact additional occupation kernel

Causality, interference energy, and switching work › The exact additional occupation kernel · lines 1880–1903

Em03-G@1#eq:annconjugation

Let the initial source Bloch $Y$ -component be $u_{y}$ , and retain $q = e^{- 2∥ a_{1} ∥_{U}^{2}}$ . For an incoming test $v$ , exact conjugation gives

U_{G}^{†} a (v) U_{G} = a (v) - i ⟨ v, a_{1} ⟩ Z - i ⟨ v, a_{2} ⟩ R, R = U_{1}^{†} X U_{1} .

The last source operator depends on the field; it must not be replaced by an independent classical sign.

Let

d_{j} = S a_{j}, e_{1} = SC a_{1} .

The two radiation ends are indexed by $α \in {\infty, hor}$ .

Displayed formulas in this passage

Em03-G@1#eq:annconjugation · line 1885
$U_{G}^{†} a (v) U_{G} = a (v) - i ⟨ v, a_{1} ⟩ Z - i ⟨ v, a_{2} ⟩ R, R = U_{1}^{†} X U_{1} .$
unlabeled · line 1897
$d_{j} = S a_{j}, e_{1} = SC a_{1} .$

Nearby in this section

theorem: Theorem: Finite signed excess radiative energy
section: The exact additional occupation kernel