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In this lecture, I discuss the dynamics of an isolated nuclear spin with spin angular momentum quantum number I = 1/2. Even though this may seem to be a purely theoretical exercise, it allows me to lay down the basis for the dynamics of realistic ensembles of nuclear spins, which is the subject of the following lectures. I explain the time evolution of a spin state subjected to either a Zeeman Hamiltonian or a radiofrequency pulse, which are the two most fundamental events used in spin dynamics to manipulate nuclear spins.

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