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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 088, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.088 (Mi sigma214) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Complex Projection of Quasianti-Hermitian Quaternionic Hamiltonian Dynamics

Giuseppe Scolarici

Dipartimento di Fisica dell'Universià del Salento, and INFN, Sezione di Lecce, I-73100 Lecce, Italy
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DOI: https://doi.org/10.3842/SIGMA.2007.088
Abstract: We characterize the subclass of quasianti-Hermitian quaternionic Hamiltonian dynamics such that their complex projections are one-parameter semigroup dynamics in the space of complex quasi-Hermitian density matrices. As an example, the complex projection of a spin-$\frac12$ system in a constant quasianti-Hermitian quaternionic potential is considered.
Keywords: pseudo-Hermitian Hamiltonians; quaternions.
Received: July 5, 2007; in final form September 3, 2007; Published online September 8, 2007
Bibliographic databases:
Document Type: Article
MSC: 81P68; 15A33
Language: English
Citation: Giuseppe Scolarici, “Complex Projection of Quasianti-Hermitian Quaternionic Hamiltonian Dynamics”, SIGMA, 3 (2007), 088, 10 pp.
Citation in format AMSBIB
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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