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arXiv · 0711.1244

Quasistationary quaternionic Hamiltonians and complex stochastic maps

G. Scolarici·L. Solombrino
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Abstract

We show that the complex projections of time-dependent $η$-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 $η$ is an Hermitian positive time-independent complex operator. An example is also discussed.

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G. Scolarici, L. Solombrino. 2007-11-08. Quasistationary quaternionic Hamiltonians and complex stochastic maps. https://doi.org/10.1088/1751-8113/41/24/244024

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