- #1

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<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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In summary, Sakurai 3.5.37 is an equation found in the book "Modern Quantum Mechanics" by Jun John Sakurai, commonly used in the field of quantum mechanics. The formula for Matrix Element <j m | S^2_+ |j m > is given by S^2_+ = S^2 - S_z^2 + S_z, and it represents the expectation value of the total spin operator squared in a specific quantum state. It is calculated using the formula <j m | S^2_+ |j m > = ħ^2j(j+1) - ħ^2m^2 + ħm, and it is important in quantum mechanics for predicting and understanding various

- #1

- 760

- 2

<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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- #2

- 760

- 2

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>

<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>

- #3

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- #4

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nevermind.

Sakurai 3.5.37 refers to a specific equation in the book "Modern Quantum Mechanics" written by Jun John Sakurai, which is commonly used in the field of quantum mechanics.

The formula for Matrix Element

S^2_+ = S^2 - S_z^2 + S_z (where S^2 is the total spin operator and S_z is the z-component spin operator).

The Matrix Element

The Matrix Element

The Matrix Element

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