Review on hermiticity of the volume operators in loop quantum gravity
From MaRDI portal
Publication:2424550
DOI10.1007/s10714-019-2541-2zbMath1419.83027arXiv1810.11486OpenAlexW2898257220WikidataQ64297688 ScholiaQ64297688MaRDI QIDQ2424550
I. Sebastian, Freddy P. Zen, I. Husin, S. Ariwahjoedi
Publication date: 25 June 2019
Published in: General Relativity and Gravitation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.11486
matrix representationloop quantum gravityhermiticitysymmetricityvolume operatorAshtekar-Lewandowski volume operator
Gravitational interaction in quantum theory (81V17) Quantization of the gravitational field (83C45) Operator algebra methods applied to problems in quantum theory (81R15)
Cites Work
- Unnamed Item
- Unnamed Item
- The length operator in loop quantum gravity
- First and second order perturbation bounds for the operator absolute value
- Quantum theory of geometry. II: Volume operators
- Discreteness of area and volume in quantum gravity
- Uniqueness of diffeomorphism invariant states on holonomy-flux algebras
- A generalized Hamiltonian constraint operator in loop quantum gravity and its simplest Euclidean matrix elements
- Gauge field theory coherent states (GCS): II. Peakedness properties
- Simplification of the spectral analysis of the volume operator in loop quantum gravity
- Complexifier coherent states for quantum general relativity
- Quantum geometry from phase space reduction
- Closed formula for the matrix elements of the volume operator in canonical quantum gravity
- A length operator for canonical quantum gravity
- Quantum theory of geometry: I. Area operators
- Volume Operator in Discretized Quantum Gravity
- Quantum spin dynamics (QSD)
- Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
- Quantum spin dynamics: VIII. The master constraint
- Quantum Geometry
- Coherent and Incoherent States of the Radiation Field
- Properties of the volume operator in loop quantum gravity: II. Detailed presentation
- Quantum Gravity
- Consistency check on volume and triad operator quantization in loop quantum gravity: I
- Consistency check on volume and triad operator quantization in loop quantum gravity: II
- Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams