Incremental progress

Former-commit-id: 408ece59a0ed37e6bcbe0cac8c527430a8a2f4d2
This commit is contained in:
Marek Nečada 2019-07-27 20:04:56 +03:00
parent b6b3a7a6ce
commit 5d858bfbeb
2 changed files with 43 additions and 2 deletions

View File

@ -264,6 +264,11 @@
\end_inset \end_inset
\begin_inset FormulaMacro
\newcommand{\rcoeffincp}[1]{a_{#1}^{\mathrm{inc.}}}
\end_inset
\begin_inset FormulaMacro \begin_inset FormulaMacro
\newcommand{\rcoeffptlm}[4]{\rcoeffp{#1}_{#2#3#4}} \newcommand{\rcoeffptlm}[4]{\rcoeffp{#1}_{#2#3#4}}
\end_inset \end_inset

View File

@ -395,7 +395,11 @@ todo different notation for the complex conjugation without transposition???
\end_inset \end_inset
or in the per-particle matrix notation, or in the per-particle matrix notation,
\begin_inset Formula $\troprp qp^{-1}=\troprp pq=\troprp qp^{\dagger}$ \begin_inset Formula
\begin{equation}
\troprp qp^{-1}=\troprp pq=\troprp qp^{\dagger}\label{eq:regular translation unitarity}
\end{equation}
\end_inset \end_inset
. .
@ -416,7 +420,11 @@ better wording
\end_inset \end_inset
, ,
\begin_inset Formula $\troprp ac=\troprp ab\troprp bc$ \begin_inset Formula
\begin{equation}
\troprp ac=\troprp ab\troprp bc\label{eq:regular translation composition}
\end{equation}
\end_inset \end_inset
but truncation breaks this, but truncation breaks this,
@ -624,7 +632,35 @@ noprefix "false"
\end_inset \end_inset
Using the unitarity
\begin_inset CommandInset ref
LatexCommand ref
reference "eq:regular translation unitarity"
plural "false"
caps "false"
noprefix "false"
\end_inset
and composition
\begin_inset CommandInset ref
LatexCommand ref
reference "eq:regular translation composition"
plural "false"
caps "false"
noprefix "false"
\end_inset
properties, one has
\begin_inset Formula
\[
\rcoeffp{\square}^{\dagger}\outcoeffp{\square}=\rcoeffincp p^{\dagger}\sum_{q\in\mathcal{P}}\troprp pqf_{q}.
\]
\end_inset
\end_layout \end_layout
\end_body \end_body