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Quasistationary quaternionic Hamiltonians and complex stochastic maps

By G. Scolarici and L. Solombrino


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.

Year: 2008
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