Kavli Affiliate: Lihong V. Wang
| First 5 Authors: Lihong V. Wang, Lihong V. Wang, , ,
| Summary:
After publishing the derivation from the classical Bloch equation to the
quantum von Neumann equation to the Schr"odinger–Pauli equation for spin-1/2,
we proposed renaming the Bloch equation to the Majorana–Bloch equation because
Majorana’s work predated Bloch’s in the presentation of the Bloch equation by
14 years. Here, we generalize our previous derivation to higher spins or
angular momenta in coherent pure states. Using the polynomial representation of
the coherent-state projector, we derive an invertible mapping from the
Majorana–Bloch equation to the von Neumann equation, establishing a one-to-one
correspondence between these two formalisms. Application of the Ehrenfest
theorem also shows that expectation values in these states reproduce the
classical equation of motion.
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