The Kirillov picture for the Wigner particle

DOI10.1088/1751-8121/aac3b3zbMath1395.81136arXiv1711.09608OpenAlexW2770364825WikidataQ129893702 ScholiaQ129893702MaRDI QIDQ4578192

Joseph C. Várilly, Patrizia Vitale, José M. Gracia-Bondía, Fedele Lizzi

Publication date: 8 August 2018

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

Full work available at URL: https://arxiv.org/abs/1711.09608

zbMATH Keywords

coadjoint orbitscontinuous spinWigner particle

Mathematics Subject Classification ID

Spinor and twistor methods applied to problems in quantum theory (81R25) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50) Coadjoint orbits; nilpotent varieties (17B08)

Related Items

Recurrence relations for symplectic realization of (quasi)-Poisson structures, Supersymmetric continuous spin gauge theory, T-dualities and doubled geometry of the principal chiral model, Off-shell supersymmetric continuous spin gauge theory, Continuous spin representation from contraction of the conformal algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weyl correspondence for a charged particle in the field of a magnetic monopole
• Construction of invariants of the coadjoint representation of Lie groups using linear algebra methods
• Star-product in the presence of a monopole
• On the theory of continuous-spin particles: helicity correspondence in radiation and forces
• On the theory of continuous-spin particles: wavefunctions and soft-factor scattering amplitudes
• A gauge field theory of continuous-spin particles
• Localizability and space in quantum physics
• On the continuity of the boosts for each orbit
• Infinite (continuous) spin fields in the frame-like formalism
• Pauli-Lubanski limit and stress-energy tensor for infinite-spin fields
• A gauge field theory of fermionic continuous-spin particles
• Relativistic quantum kinematics in the Moyal representation
• Elementary particles with continuous spin
• The magnetic Weyl calculus
• Dirac’s magnetic monopole and the Kontsevich star product
• Particles and Sources
• Cotangent bundle quantization: entangling of metric and magnetic field
• Group Theoretical Discussion of Relativistic Wave Equations