Relativistic internal time operator

DOI10.1007/BF00674346zbMath0812.46069OpenAlexW2053926032MaRDI QIDQ1185861

Ioannis E. Antoniou, Baydyanath Misra

Publication date: 28 June 1992

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00674346

zbMATH Keywords

Huygens' principleLie algebraMinkowski spacePoincaré groupvelocity operatorLorentz boostsgenerators of the Poincaré groupinfinite- dimensional extension of the Poincaré algebrainternal position operatornonlocality of the time operatorself-adjoint time operator for massless relativistic systemsspatial dimensions

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Methods of quantum field theory in general relativity and gravitational theory (83C47) Applications of functional analysis in quantum physics (46N50)

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Pseudoadditive states on a logic ⋮ From probabilistic descriptions to deterministic dynamics ⋮ Nonunitary similarity transformation of conservative to dissipative evolutions: Intertwining without time operator ⋮ A one-particle time of arrival operator for a free relativistic spin-\(0\) charged particle in \((1+1)\) dimensions ⋮ Surmounting the Cartesian cut through philosophy, physics, logic, cybernetics, and geometry: self-reference, torsion, the Klein bottle, the time operator, multivalued logics and quantum mechanics ⋮ Resonances and time operator for the cusp map ⋮ Self-adjoint time operators and invariant subspaces ⋮ Generalized spectral decomposition of the \(\beta\)-adic baker's transformation and intrinsic irreversibility ⋮ POINCARE-HILBERT SERIES, PI, AND NOETHERIANITY OF THE ENVELOPING OF THE RIT ALGEBRA ⋮ The time operator of wavelets ⋮ On Serre's Problem for RIT Algebras ⋮ Time operator for diffusion. ⋮ Wavelets and stochastic processes ⋮ The time operator of the cusp map

Cites Work

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• Group Theoretical Discussion of Relativistic Wave Equations
• On the Quantization of a Unitary Field Theory
• The mass-centre in the restricted theory of relativity and its connexion with the quantum theory of elementary particles
• Localized States for Elementary Systems
• The relativistic internal time algebra

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