Consider two nuclei with 1/2 spin in an organic molecule experiencing different chemical environment A. If the two spins

[answerhappygod]

Consider two nuclei with 1/2 spin in an organic molecule experiencing different chemical environment
A. If the two spins do not interact with each other, the Hamiltonian operator is
Hˆ=−γB0(1−σ1)Iz1−γB0(1−σ2)Iˆz2H^=−γB0(1−σ1)Iz1−γB0(1−σ2)I^z2
. Find the eigen values of all the possible energy states
B. If the two spins interact with each other, (i) write down the appropriate Hamiltonian operator assuming first order approximation for the interaction. (ii) What are the eigen values of the energy states
C. Estimate the Probability of all transitions, in both A and B cases above