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Unitary representations of the Lorentz group

1945/02/22 by P. A. M. Dirac · 164 citations
Physics and Astronomy · Mathematics · #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #Algebraic and Geometric Analysis #Unitary state #Mathematics #Invariant (physics) #Pure mathematics #Group (periodic table) #Lorentz group #Lorentz transformation #Lorentz covariance #Quadratic equation #Lorentz factor #Physics #Quantum mechanics #Mathematical physics #Geometry

paper · doi:10.1098/rspa.1945.0003

published in Proceedings of the Royal Society of London A Mathematical and Physical Sciences 183(994), 284-295 (Royal Society)

openalex publication_date 1945/02/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/06/26

Abstract

Abstract Certain quantities are introduced which are like tensors in space-time with an infinite enumerable number of components and with an invariant positive definite quadratic form for their squared length. Some of the main properties of these quantities are dealt with, and some applications to quantum mechanics are pointed out

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