uniform magnetic field B0

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At time t = 0, an electron and a positron are formed in a state with total spin angular momentum equal to zero, perhaps from the decay of a spinless particle. The particles are situated in a uniform magnetic field B0 in the z direction.

If interaction between the electron and the positron may be neglected, show that the spin Hamiltonian of the system may be written as Ĥ = ω01z - Ŝ2z), where Ŝis the spin operator of the electron, Ŝis the spin operator of the positron, and ω0 is a constant. Show all work and explanations please




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