Canonical realizations of the Poincaré group. I. General theory

DOI10.1063/1.522701zbMath0316.22021OpenAlexW1977460207WikidataQ60174137 ScholiaQ60174137MaRDI QIDQ4075693

G. M. Prosperi, Massimo Pauri

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1063/1.522701

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

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Cites Work

• 'Canonical' representations of the inhomogeneous Lorentz group
• On unitary ray representations of continuous groups
• Interaction contra Classical Relativistic Hamiltonian Particle Mechanics
• Position and Intrinsic Spin Operators in Quantum Theory
• Kinematics of the Relativistic Two-Particle System
• Canonical Realizations of Lie Symmetry Groups
• Canonical Realizations of the Rotation Group
• Canonical Realizations of the Galilei Group
• Remarks on the Nature of Relativistic Particle Orbits
• The mass-centre in the restricted theory of relativity and its connexion with the quantum theory of elementary particles
• Relativistic Particle Dynamics. II