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Qmechanic ♦
Qmechanic ♦
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Clebsch-Gordan coefficients, spin networks and inertwinersintertwiners

After spending some time with LQG books and articles i have still some problems regarding concepts of this theory.

Spin network is built from lines labeled by spin label $j$ and since angular momentum must be conserved at the node one needs to associate inertwinerintertwiner with the node. What's the role of the CClebsch-B coeffsGordan coefficients? ArentAren't they precisely inertwinersintertwiners asserting that momentas on each nodes are conserved?

Clebsch-Gordan coefficients, spin networks and inertwiners

After spending some time with LQG books and articles i have still some problems regarding concepts of this theory.

Spin network is built from lines labeled by spin label $j$ and since angular momentum must be conserved at the node one needs to associate inertwiner with the node. What's the role of the C-B coeffs? Arent they precisely inertwiners asserting that momentas on each nodes are conserved?

Clebsch-Gordan coefficients, spin networks and intertwiners

After spending some time with LQG books and articles i have still some problems regarding concepts of this theory.

Spin network is built from lines labeled by spin label $j$ and since angular momentum must be conserved at the node one needs to associate intertwiner with the node. What's the role of the Clebsch-Gordan coefficients? Aren't they precisely intertwiners asserting that momentas on each nodes are conserved?

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StarPlatinumZaWardo
StarPlatinumZaWardo
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Clebsch-Gordan coefficients, spin networks and inertwiners

After spending some time with LQG books and articles i have still some problems regarding concepts of this theory.

Spin network is built from lines labeled by spin label $j$ and since angular momentum must be conserved at the node one needs to associate inertwiner with the node. What's the role of the C-B coeffs? Arent they precisely inertwiners asserting that momentas on each nodes are conserved?