deletions | additions       diff --git a/Fermionic Field States.tex b/Fermionic Field States.tex  index fe6c2df..a152218 100644  --- a/Fermionic Field States.tex  +++ b/Fermionic Field States.tex 
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where the $?$ has been included as it is undetermined whether this operation is an $a^{+}$ or $a^{}$. For Even numbers it will be $a^{}_2$ for odd numbers $a^{+}_2$.  Clock vectors: This one is cheating a bit...  Have a vector $|1,-it^{0}_{1},-it^{0}_{2},-it^{0}_{3},...>$ where the $t$ are special constructs which (basically act as a modulo counter), for $t^{m}_{n}$ is equal to $i$ if $m=n$. Then an operator $O_k$ has the properties that acting on state $k$ will turn 1 to $-it^{0}_{k}$ $-it^{0}_{k-1}$  and $-it^{m}_{n}$ to $-it^{m+1}_{n}$. We then find that \begin{equation}  O_k|1,-it^{0}_{1},-it^{0}_{2},-it^{0}_{3},...> = |1,-it^{1}_{1},-it^{1}_{2},-it^{1}_3,...> \\  =|1,1,-it^{1}_{2},-it^{1}_3,...> \\  \end{equation}