Matrix element <j m | S²₊ |j m > in Sakurai 3.5.37

[Nusc]

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?

 

[Nusc]

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]

These appear to be formulas for finding the spin, and or angular momentum, of a wave-function. What is your question exactly?

 

[Nusc]

nevermind.