Complex Projection of Quasianti-Hermitian Quaternionic Hamiltonian Dynamics
Mathematical Physics
2008-04-24 v1 math.MP
Quantum Physics
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-1/2 system in a constant quasianti-Hermitian quaternionic potential is considered.
Keywords
Cite
@article{arxiv.0709.1198,
title = {Complex Projection of Quasianti-Hermitian Quaternionic Hamiltonian Dynamics},
author = {Giuseppe Scolarici},
journal= {arXiv preprint arXiv:0709.1198},
year = {2008}
}
Comments
This is a contribution to the Proc. of the 3-rd Microconference "Analytic and Algebraic Methods III"(June 19, 2007, Prague, Czech Republic), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/