80 Years of Professor Wigner's Seminal Work "On Unitary Representations of the Inhomogeneous Lorentz Group"

Keywords

Mathematics, Unitary state, Group (periodic table), Lorentz group, Lorentz transformation

References

• Gruppentheorie und QuantenmechanikHermann Weyl — 1928
• Gruppentheorie und ihre Anwendung auf die Quantenmechanik der AtomspektrenE. P. Wigner — 1931
• Integralgleichungen und fastperiodische FunktionenH Weyl — 1927
• Linear Transformations in Hilbert Space: III. Operational Methods and Group Theory.M. H. Stone — 1930
• Sur la théorie ondulatoire des électrons positifs et négatifsAl. Proca — 1936
• Der Massbegriff in der Theorie der Kontinuierlichen GruppenA. W. van der Haar — 1933
• Uber Funktionen Von FunktionaloperatorenJ. v. Neumann — 1931
• The Theory of RelativityH. T. H. Piaggio — 1925
• The Principles of Quantum MechanicsC. G. D. — 1935
• The Principles of Quantum MechanicsP. A. M. Dirac — 1936

Cited by

• Wave Functions for Galilean ParticlesAntonio Díaz Miranda — 2000
• Canonical forms of pseudo-orthogonal matricesG. Abraham, B. M. Arthur, P. Swamidhas — 1971
• Intuition and the Axiomatic MethodEmily Carson, Huber, Renate — 2006
• An Identity Crisis for the Casimir OperatorThomas R. Love — 2007
• Internal co-ordinates and explicit representations of the Poincaré groupA. Kihlberg — 1968
• Nonunitary representations of the Poincaré group and field theory of unstable particlesT. Kawai, Motoki Goto — 1969
• Spacetime as Manifold of Internal Symmetry Orbits in External SymmetriesHeinrich Saller — 2001
• On type II0 E0-semigroups induced by q-pure maps on Mn CChristopher Jankowski — 2009
• Mackey’s theory and the true representations of the Galilei groupJ. Voisin — 1966
• Coherent states of the Poincaré group, related frames and transformsMohammed Rezaul Karim — 1996
• Little-Group Approach to Gauge TheoryHui Li — 1999
• The poincare group and the lambda-representationH.J. Braathen — 1970
• Classes of then-dimensional Lorentz groupG. Abraham — 1948
• QUANTUM FIELD THEORY AND THE DYNAMICAL ROLE OF SPINFrançois Lurçat — 1964
• Mathematical Aspects of Twistor Theory: Null Decomposition of Conformal Algebras and Self-dual Metrics on Intersections of QuadricsDaniela Mihai — 2007
• Methode de Shirokov et algebres de spin du groupe de PoincareCh. Pirotte — 1973
• Physics without fundamentalityK. McKenzie — 2012
• Indefinite metric in massless quantum field theories of arbitrary spinH. P. Dürr, Ekkart Rudolph — 1970
• Symmetries of the Schrödinger bundleV. Aldaya, J. A. de Azcárraga — 1981
• An Extended Relativistic Particle Model with Arbitrary Spin and IsospinS. V. Talalov — 2003

Related papers

• Spacelike representations of the inhomogeneous Lorentz group in a Lorentz basisB. Radhakrishnan, N. Mukunda — 1974
• Unitary and non-unitary representations of the complex inhomogeneous Lorentz groupEric H. Roffman — 1967
• Distinction by the quasi-split unitary groupHervé Jacquet — 2010
• Unitary representations of the inhomogeneous Lorentz groupRichard A. Shaw — 1964
• Harmonic analysis on the infinite-dimensional unitary-symplectic groupA. Osinenko — 2013
• Unitary representations of the unitary groupD. B. Hunter — 1969
• Irreducible unitary representations of the groups U(p,q) sustaining passage to the limit aS q → ∞Grigori Olshanski — 1992
• The Dirac Equation and the Unitary Representations of the Inhomogeneous Lorentz GroupL. B. Rédei — 1965
• Unitary Representations of SL(2, C) in an E(2) BasisShau-Jin Chang, L. O’Raifeartaigh — 1969