Deformation quantization of constrained systems: a group averaging approach
From MaRDI portal
Publication:5161334
DOI10.1088/1361-6382/ab6861zbMath1478.83079arXiv1911.00945OpenAlexW3102061809MaRDI QIDQ5161334
Jasel Berra-Montiel, Alberto Molgado
Publication date: 29 October 2021
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.00945
Quantization of the gravitational field (83C45) Applications of Lie groups to the sciences; explicit representations (22E70) Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Deformation quantization, star products (53D55) Constrained dynamics, Dirac's theory of constraints (70H45)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Constrained dynamics and quantum gravity
- Characteristic classes of star products on Marsden-Weinstein reduced symplectic manifolds
- Phase space quantum mechanics
- Deformation theory and quantization. I: Deformations of symplectic structures
- Deformation theory and quantization. II: Physical applications
- Star product for second-class constraint systems from a BRST theory
- Rieffel induction as generalized quantum Marsden-Weinstein reduction
- Deformation quantization of Poisson manifolds
- Quantization of Kähler manifolds. IV
- ON GROUP AVERAGING FOR SO(n, 1)
- On the implementation of constraints through projection operators
- DEFORMATION QUANTIZATION OF CLASSICAL FIELDS
- Refined algebraic quantization in the oscillator representation of SL(2, ℝ)
- Generating all Wigner functions
- Deformation quantization in the teaching of quantum mechanics
- Polymer quantum mechanics as a deformation quantization
- On the generality of refined algebraic quantization
- Moyal Quantization for Constrained System
- Group averaging in the (p,q) oscillator representation of SL(2,R)
- Quantum observables and recollapsing dynamics
- An algebraic extension of Dirac quantization: Examples
- Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
- Quantum Theory for Mathematicians
- The Polymer representation for the scalar field: a Wigner functional approach
- Convergence of the Gutt Star Product
- The Phoenix Project: master constraint programme for loop quantum gravity
- A Concise Treatise on Quantum Mechanics in Phase Space
- Modern Canonical Quantum General Relativity
- Quantum Theory of Gravity. I. The Canonical Theory
- Superselection sectors in the Ashtekar–Horowitz–Boulware model
- REFINED ALGEBRAIC QUANTIZATION WITH THE TRIANGULAR SUBGROUP OFSL(2, ℝ)
- Reduction, quantization, and nonunimodular groups
- On the principles of elementary quantum mechanics
- Group averaging for de Sitter free fields