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Relativity and irreversibility. (English) Zbl 1088.81009

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
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