<Dl> <Dd> H = − μ ⋅ B = − μ σ ⋅ B (\ displaystyle H = - (\ boldsymbol (\ mu)) \ cdot \ mathbf (B) = - \ mu (\ boldsymbol (\ sigma)) \ cdot \ mathbf (B)) </Dd> </Dl> <Dd> H = − μ ⋅ B = − μ σ ⋅ B (\ displaystyle H = - (\ boldsymbol (\ mu)) \ cdot \ mathbf (B) = - \ mu (\ boldsymbol (\ sigma)) \ cdot \ mathbf (B)) </Dd> <P> where μ (\ displaystyle \ mu) is the magnitude of the particle's magnetic moment and σ (\ displaystyle (\ boldsymbol (\ sigma))) is the vector of Pauli matrices . Solving the time dependent Schrödinger equation H ψ = i ħ ∂ t ψ (\ displaystyle H \ psi = i \ hbar \ partial _ (t) \ psi) yields </P> <Dl> <Dd> ψ (t) = e i ω t σ ⋅ n ^ ψ (0), (\ displaystyle \ psi (t) = e ^ (i \ omega t (\ boldsymbol (\ sigma)) \ cdot \ mathbf (\ hat (n))) \ psi (0),) </Dd> </Dl>

What are the two states of an electron