2007/11/08 by G Scolarici, G. Scolarici, L. Solombrino +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Complex dynamics #Complex space #Complex system #Dynamics (music) #Hamiltonian (control theory) #Hamiltonian system #Hermitian matrix #Matrix Theory and Algorithms #Space (punctuation) #quant-ph
paper · pdf · doi:10.1088/1751-8113/41/24/244024
published in Journal of Physics A Mathematical and Theoretical 41(24), 244024 (Institute of Physics) · Submitted to J. Phys. A on October 25 2007
arxiv created 2007/11/08 · openalex publication_date 2008/06/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
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.