Antoniou, I.; Karpov, E.; Prigogine, I.; Pronko, G. Relativity and irreversibility. (English) Zbl 1088.81009 Discrete Dyn. Nat. Soc. 2004, No. 1, 35-49 (2004). Summary: The Lorentz transformation is extended to the decaying states in a relativistic model of interacting fields. The nonlocal action is defined beyond the Hilbert space. This shows that irreversible extensions of dynamics of Poincaré nonintegrable systems are compatible with relativity. MSC: 81P05 General and philosophical questions in quantum theory 81U99 Quantum scattering theory 82C10 Quantum dynamics and nonequilibrium statistical mechanics (general) 81R20 Covariant wave equations in quantum theory, relativistic quantum mechanics 22E70 Applications of Lie groups to the sciences; explicit representations 81T05 Axiomatic quantum field theory; operator algebras 83F05 Relativistic cosmology 37L99 Infinite-dimensional dissipative dynamical systems 81R05 Finite-dimensional groups and algebras motivated by physics and their representations PDFBibTeX XMLCite \textit{I. Antoniou} et al., Discrete Dyn. Nat. Soc. 2004, No. 1, 35--49 (2004; Zbl 1088.81009) Full Text: DOI EuDML