Cylindrical group and massless particles

DOI10.1063/1.527824zbMath0618.22015OpenAlexW2113160615MaRDI QIDQ3754834

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Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527824

zbMATH Keywords

Gauge transformationslittle grouptwo-dimensional Euclidean groupcylindrical group

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (12)

Space-time geometry of relativistic particles in four-dimensional phase space ⋮ The Gel’fand–Tsetlin representations of the orthogonal Cayley–Klein algebras ⋮ General quantization ⋮ Space-time geometry of relativistic particles ⋮ Do small-mass neutrinos participate in gauge transformations? ⋮ Quantum action principle and base operators for bosons and fermions ⋮ Wigner’s little group and decomposition of Lorentz transformations ⋮ Poincaré covariance with an unfixed gauge ⋮ New observable effects of the Lorentz group ⋮ Loop representation of Wigner's little groups ⋮ Poincaré symmetry from Heisenberg's uncertainty relations ⋮ Internal space-time symmetries of massive and massless particles and their unification

Cites Work

• Eulerian parametrization of Wigner’s little groups and gauge transformations in terms of rotations in two-component spinors
• Symplectic formulation of relativistic quantum mechanics
• On the Contraction of Groups and Their Representations

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