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Benedict Irwin edited Fermionic Half Operators.tex
almost 10 years ago
Commit id: b8f24aa1957f55f27c9686d1a8ef5f98e929a45c
deletions | additions
diff --git a/Fermionic Half Operators.tex b/Fermionic Half Operators.tex
index 6cf68ad..b37e7bf 100644
--- a/Fermionic Half Operators.tex
+++ b/Fermionic Half Operators.tex
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Then by considering that ideally n = 0 or 1 for a fermionic state \begin{equation}
s^+s|1>= \sqrt[4]{\frac{1}{2}}\sqrt[4]{\frac{3}{2}}|1>
\\ =A|1>\\
r^+r|1>= \sqrt[4]{1}\sqrt[4]{1}|1>
=1|1> \\
ss^+|1>= \sqrt[4]{2}\sqrt[4]{0}|1>
\\ =0|1>\\
rr^+|1>= \sqrt[4]{\frac{1}{2}}\sqrt[4]{\frac{3}{2}}|1>
\\ =A|1>\\
\\
s^+s|0>= \sqrt[4]{\frac{1}{2}}\sqrt[4]{\frac{3}{2}}|0>
\\ =A|0>\\
r^+r|0>= \sqrt[4]{2}\sqrt[4]{0}|0>
\\ =0|0>\\
ss^+|0>= \sqrt[4]{1}\sqrt[4]{1}|0>
\\ =1|0>\\
rr^+|0>= \sqrt[4]{\frac{1}{2}}\sqrt[4]{\frac{3}{2}}|0>
\\ =A|0>\\
\end{equation}