arXiv:0709.1198 · Symmetry Integrability and Geometry Methods and Applications
Complex Projection of Quasianti-Hermitian Quaternionic Hamiltonian Dynamics
G. Scolarici
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.