(a) Find the total spin of a system of three spin Clebsch-Gordan coefficients. particles and derive the corresponding (b) Consider a system of three nonidentical spin particles whose Hamiltonian is given by Ĥ-E0(S₁ S₂ + S₂ S3)/ħ². Find the system's energy levels and their degeneracies.

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Problem 7.4
(a) Find the total spin of a system of three spin
coefficients.
Clebsch-Gordan
particles and derive the corresponding
(b) Consider a system of three nonidentical spin particles whose Hamiltonian is given by
Ĥ = −60 (S₁ S3 + S₂ S3)/ħ². Find the system's energy levels and their degeneracies.
Transcribed Image Text:Problem 7.4 (a) Find the total spin of a system of three spin coefficients. Clebsch-Gordan particles and derive the corresponding (b) Consider a system of three nonidentical spin particles whose Hamiltonian is given by Ĥ = −60 (S₁ S3 + S₂ S3)/ħ². Find the system's energy levels and their degeneracies.
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