Planar Carrollean dynamics, and the Carroll quantum equation
From MaRDI portal
Publication:2159345
DOI10.1016/j.geomphys.2022.104574zbMath1505.70039arXiv2110.08489OpenAlexW3205457385WikidataQ113873233 ScholiaQ113873233MaRDI QIDQ2159345
Publication date: 29 July 2022
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.08489
symplectic geometrygeometric quantizationCarroll groupassociated Lie groupplanar Carroll elementary particle
Geometry and quantization, symplectic methods (81S10) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)
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Cites Work
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- Spinors in non-relativistic Chern-Simons electrodynamics
- Flat holography: aspects of the dual field theory
- Dynamics of Carroll strings
- Effective Chern-Simons actions of particles coupled to 3D gravity
- Representations of extended Carroll group
- Carroll contractions of Lorentz-invariant theories
- Nonrelativistic particles and wave equations
- On unitary ray representations of continuous groups
- Conformal Carroll groups
- Dynamics of Carroll particles
- UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
- Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
- Moyal quantization of 2+1-dimensional Galilean systems
- Exotic Galilean symmetry in the non-commutative plane and the Hall effect
- Central extensions of the quasi-orthogonal Lie algebras
- Conformal Carroll groups and BMS symmetry
- Embedding Galilean and Carrollian geometries. I. Gravitational waves
- Carrollian physics at the black hole horizon
- Carroll symmetry of plane gravitational waves
- Group theoretical construction of planar noncommutative phase spaces
- Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
- Possible Kinematics
- Canonical Dynamics of Spinning Particles in Gravitational and Electromagnetic Fields
- Asymptotic Symmetries in Gravitational Theory
- Four-Dimensional Formulations of Newtonian Mechanics and Their Relation to the Special and the General Theory of Relativity
- On the Contraction of Groups and Their Representations
