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Benedict Irwin edited Bosonic Fields.tex
almost 10 years ago
Commit id: 7dc9c716eab9307e346263915f6709c915ab9116
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index c0854c5..ea09b8e 100644
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Actually there is a way in which a field could be doubly or more occupied. If the state filling representes the coefficient of the number which divides into that number. This is nice as the product of all states labels $k$ to the power of thier populations $n_k$ is the number itself... \begin{equation}
\prod_{k}^{\infty} k^{n_k} = N
\end{equation}
Such that a state $|1,2,1,0,0...>$ would represent 1x2x2x3=12.
Intepretation. If $k$ is a frequency and the state population is an amplitude, what does the fourier transform of the spectrum look like. Spikes lead to sharp frequencies. So numeric values would take on the form of waves which could ont be interpreted in any other way perhaps \begin{equation}
|1,2,1,0,0...>=cos(t)+2cos(2t)+cos(3t)+0*cos(4t)+...
\end{equation}