Matrix Element

by Nusc
Tags: element, matrix
Nusc is offline
Mar6-10, 01:55 PM
P: 781
Does anyone know what the formula is for the following:

<j m | S^2_{+} |j m > = ?

Reference to equations in Sakurai would be helpful in deriving the relation. I would suspect 3.5.37 but what about the delta_j j' ?

Does anyone know what I'm talking about?
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Nusc is offline
Mar6-10, 06:23 PM
P: 781
3.5.35 a

<j',m|J^2 |j,m> = j(j+1)hbar^2 delta_j j' delta m m'

3.5.37 is

J_+ |j,m> = c_jm^+ |j,m+1>
Matterwave is offline
Mar6-10, 08:57 PM
P: 2,041
These appear to be formulas for finding the spin, and or angular momentum, of a wave-function. What is your question exactly?

Nusc is offline
Mar6-10, 09:38 PM
P: 781

Matrix Element


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