/sci/ - Science & Math » Thread #13884131

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Anonymous Tue 23 Nov 22:24:17 2021 No.13884131 View Reply Original Report

Quoted By: >>13884136 >>13884165 >>13884166

so why is the numerator n(n-1) and not n^2?

!R3Mk./9PAQ

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!R3Mk./9PAQ Tue 23 Nov 2021 22:26:54 No.13884136 Report

Quoted By: >>13884149

>>13884131
NYUGGA do I look like stack exchange to you

Anonymous

Anonymous Tue 23 Nov 2021 22:28:51 No.13884149 Report

Quoted By:

>>13884136
yes

Anonymous

Anonymous Tue 23 Nov 2021 22:33:56 No.13884165 Report

Quoted By: >>13884188

>>13884131
$a\, a^{\dagger} - a^{\dagger} a = 1 \Rightarrow a^{\dagger} a^{\dagger} a\, a = a^{\dagger} \left(a\, a^{\dagger} -1\right) a = a^{\dagger} a \left(a^{\dagger} a -1\right)$

Anonymous

Anonymous Tue 23 Nov 2021 22:33:57 No.13884166 Report

Quoted By:

>>13884131
what are those stupid brackets

Anonymous

Anonymous Tue 23 Nov 2021 22:42:42 No.13884188 Report

Quoted By: >>13884199

>>13884165
but if $[a,a^{\dagger}]=1$ you can't just switch the order in the last relation?

Anonymous

Anonymous Tue 23 Nov 2021 22:45:46 No.13884199 Report

Quoted By: >>13884201

>>13884188
Nothing is switched in the last equality, just expand the bracket regather terms.

Anonymous

Anonymous Tue 23 Nov 2021 22:46:51 No.13884201 Report

Quoted By:

>>13884199
oh shit right I'm an idiot
thanks

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