Benedict Irwin edited Fermionic Half Operators.tex  almost 10 years ago

Commit id: b8f24aa1957f55f27c9686d1a8ef5f98e929a45c

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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}