Coquaternionic quantum dynamics for two-level systems

Details Coquaternionic quantum dynamics for two-level systems Coquaternionic quantum dynamics for two-level systems

2011-05-20

arxiv.org/abs/1105.4038v1

Acta Polytechnica 51, 14-20 (2011)

Physics

Mathematical Physics

9 pages, 2 figures

Scientific paper

The dynamical aspects of a spin-1/2 particle in Hermitian coquaternionic quantum theory is investigated. It is shown that the time evolution exhibits three different characteristics, depending on the values of the parameters of the Hamiltonian. When energy eigenvalues are real, the evolution is either isomorphic to that of a complex Hermitian theory on a spherical state space, or else it remains unitary along an open orbit on a hyperbolic state space. When energy eigenvalues form a complex conjugate pair, the orbit of the time evolution closes again even though the state space is hyperbolic.

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