SYMMETRIES OF NON-LINEAR SYSTEMS: GROUP APPROACH TO THEIR QUANTIZATION
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Publication:2891014
DOI10.1142/S0219887811005713zbMath1252.81081arXiv1012.3681OpenAlexW3105635374MaRDI QIDQ2891014
Manuel Calixto, F. F. López-Ruiz, Julio Guerrero, Victor Aldaya
Publication date: 12 June 2012
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1012.3681
Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)
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Cites Work
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- Group-quantization of nonlinear sigma models: particle on \(\mathbb S^2\) revisited
- Unitary representations of the Virasoro and super-Virasoro algebras
- Vacuum radiation and symmetry breaking in conformally invariant quantum field theory
- Algebraic quantization, good operators and fractional quantum numbers
- Covariant phase-space quantization of the induced \(2\)D gravity
- On unitary ray representations of continuous groups
- Invariant measures on polarized submanifolds in group quantization
- Higher-Order Differential Operators on a Lie Group and Quantization
- NON-CANONICAL PERTURBATION THEORY OF NONLINEAR SIGMA MODELS
- Symmetry group of massive Yang–Mills theories without Higgs and their quantization
- Group quantization of the affine field model for gravity and non-standard representations of the SU(1, 1)-Kac-Moody group
- A QUANTIZABLE MODEL OF MASSIVE GAUGE VECTOR BOSONS WITHOUT HIGGS
- KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
- Quantization as a consequence of the symmetry group: An approach to geometric quantization
- Gravito-electromagnetism
- Group quantization on configuration space: Gauge symmetries and linear fields
- Group approach to quantization of Yang-Mills theories: a cohomological origin of mass
- Gauge symmetry and gravito-electromagnetism
- Gauge principle revisited: Towards a unification of space–time and internal gauge interactions
- Group quantization on configuration space
- Special-relativistic harmonic oscillator modeled by Klein–Gordon theory in anti-de Sitter space
- Quantum Integrability of the Dynamics on a Group Manifold
- Group approach to the quantization of the Pöschl–Teller dynamics
- General Relativity
