Hamilton's turn and geometric phase for two-level systems
- 21 November 1992
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 25 (22) , 6135-6144
- https://doi.org/10.1088/0305-4470/25/22/034
Abstract
Hamilton, in the course of his studies on quaternions, introduced an elegant geometric representation for the composition of SU(2) elements, in terms of turns on the unit sphere S2. The authors use these turns to study two-level systems, with particular reference to geometric phase. The special roles played by piecewise geodesic circuits in the state space and evolution under constant Hamiltonian are recognized.Keywords
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