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Title: Coquaternionic quantum dynamics for two-level systems
Authors: Brody, DC
Graefe, EM
Keywords: Complexified mechanics;PT symmetry;Hyperbolic geometry
Issue Date: 2011
Citation: Acta Polytechnica: Journal of Advanced Engineering, 2011, 51 pp. 14 - 20
Abstract: 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 di erent 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.
Appears in Collections:Dept of Mathematics Research Papers

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