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Method for Solving the Bloch Equation from the Connection with Time-Dependent Oscillator

Sang Pyo Kim
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Abstract

We introduce a novel method to find exact density operators for a spin-1/2 particle in time-dependent magnetic fields by using the one-mode bosonic representation of $su(2)$ and the connection with a time-dependent oscillator. As illustrative examples, we apply the method to find the density operators for constant and/or oscillating magnetic fields, which turn out to be time-dependent in general.

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Sang Pyo Kim. 2005-11-28. Method for Solving the Bloch Equation from the Connection with Time-Dependent Oscillator. https://arxiv.org/abs/quant-ph/0511241

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