Relativistic Gamow vectors

DOI10.1063/1.532235zbMath1006.47055OpenAlexW2021224725MaRDI QIDQ4260450

Ioannis E. Antoniou, G. P. Pron'ko, Ilya Prigogine, Manuel Gadella

Publication date: 3 December 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532235

zbMATH Keywords

dynamical semigroupsFriedrichs modelrigged Hilbert spacesolvable modelGamow vectorsPCT invarianceasymmetric relativistic extension of Fock spaceHilbert space of quantum theoryPoincaré semigroupsunstable relativistic field

Mathematics Subject Classification ID

Model quantum field theories (81T10) Applications of operator theory in the physical sciences (47N50) Scattering theory of linear operators (47A40) Dispersion theory, dispersion relations arising in quantum theory (81U30) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (14)

Possible origin of extra states in particle physics. ⋮ Pushing the limits of the periodic table -- a review on atomic relativistic electronic structure theory and calculations for the superheavy elements ⋮ Partial wave decomposition in Friedrichs model with self-interacting continua ⋮ ON NON-MARKOVIAN TIME EVOLUTION IN OPEN QUANTUM SYSTEMS ⋮ Friedrichs model with virtual transitions. Exact solution and indirect spectroscopy ⋮ Point-form dynamics of quasistable states ⋮ Groups, special functions and rigged Hilbert spaces ⋮ Relativistic dynamics of quasistable states. I. Perturbation theory for the Poincaré group ⋮ The Friedrichs model and its use in resonance phenomena ⋮ Nonequilibrium stationary states of noninteracting electrons in a one-dimensional lattice ⋮ Gamow vectors for an unstable relativistic quantum field ⋮ Representation of the resonances of a relativistic quantum field theoretical model in Lax-Phillips scattering theory ⋮ Gamow algebras ⋮ On time asymmetric Wigner quantization

Cites Work

• Resonances and the extension of dynamics to rigged Hilbert spaces
• The decay-scattering system
• Construction of a complete set of states in relativistic scattering theory
• Generalization of the Coleman–Mandula theorem to higher dimension
• A Theory of Clothed Unstable Particles
• A rigged Hilbert space for the free radiation field
• Space−time symmetries and nonunitary representations of the Poincaré semigroup: Description of unstable particles
• Representations of the Poincaré group associated to complex energy-momentum
• Dirac Formalism and Symmetry Problems in Quantum Mechanics. I. General Dirac Formalism
• Nonunitary representations of the Poincaré group and field theory of unstable particles
• Quantum Theory of Non-Local Fields. Part II. Irreducible Fields and their Interaction

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