Time evolution of a single-spin model coupled to a harmonic oscillator via the method of Mori

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Abstract
We use Mori's memory function method for coupled operators to calculate the time-dependent behaviour of a single-spin model coupled to a harmonic oscillator. This model enables us to carry out the formal analysis of Mori exactly and gives us the physical insight required to treat more complex models, such as the Ising model in a transverse field coupled to phonons.

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