Quasistationary quaternionic Hamiltonians and complex stochastic maps
Quantum Physics
2009-11-13 v1
Abstract
We show that the complex projections of time-dependent -quasianti-Hermitian quaternionic Hamiltonian dynamics are complex stochastic dynamics in the space of complex quasi-Hermitian density matrices if and only if a quasistationarity condition is fulfilled, i. e., if and only if is an Hermitian positive time-independent complex operator. An example is also discussed.
Keywords
Cite
@article{arxiv.0711.1244,
title = {Quasistationary quaternionic Hamiltonians and complex stochastic maps},
author = {G. Scolarici and L. Solombrino},
journal= {arXiv preprint arXiv:0711.1244},
year = {2009}
}
Comments
Submitted to J. Phys. A on October 25 2007