Consider a system of two particles with spin quantum numbers 1andS2respectivelyand with no orbital angular momentum. We have seen in class that this state can be described equally well in two different bases:

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Physics

Charlie Lam

24 May, 21:24

Consider a system of two particles with spin quantum numbers 1andS2respectivelyand with no orbital angular momentum. We have seen in class that this state can be described equally well in two different bases:

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Answers (1)

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Jerimiah Kirby · Answer 1

The Clebsh-Gordan Coefficients to relate the coupled and uncoupled bases.

Explanation:

In quantum mechanics, two different sources of angular momentum eigenstates, show their widening through the Clebsch-Gordan (CG) coefficients, first in an uncoupled product bases.

- The uncoupled basis writes the state as eigenstates of the z-components of the two particles:

IS1+S2ms1ms2)

- The coupled basis writes the state as eigenstates of the two particles:

IS1S2Stotms)