Consider the first order correction to the energy of interacting spins illustrated in Example Problem 28 3 for 2 Calculate the energy correction to the wave functions 1 (1) (2), 2 (1) (2), and 4 (1) (2) Show that your results are consistent with E m 1 m 2 h J 12 with m 1 and m 2 1 2 for and 1 2 for...

V 12 47 AE a 2 2 d d J12 h 47 a a2aa2 di dt a a 2a2 d dt a 1a 2a12 dty dt 47 a1a 2 ...

Consider the first-order correction to the energy of interacting spins illustrated in Example Problem 28.3 for

Question:

Consider the first-order correction to the energy of interacting spins illustrated in Example Problem 28.3 for ψ₂. Calculate the energy correction to the wave functions ψ₁ = α(1) α(2), ψ₂ = β(1) α(2), and ψ₄ = β(1) β(2). Show that your results are consistent with ΔE = m₁m₂h J₁₂ with m₁ and m₂ = +1/2 for α and – 1/2 for β.