The length operator in Loop Quantum Gravity - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Nuclear Physics B Année : 2009

The length operator in Loop Quantum Gravity

Résumé

The dual picture of quantum geometry provided by a spin network state is discussed. From this perspective, we introduce a new operator in Loop Quantum Gravity - the length operator. We describe its quantum geometrical meaning and derive some of its properties. In particular we show that the operator has a discrete spectrum and is diagonalized by appropriate superpositions of spin network states. A series of eigenstates and eigenvalues is presented and an explicit check of its semiclassical properties is discussed.

Dates et versions

hal-00326467 , version 1 (03-10-2008)

Identifiants

Citer

Eugenio Bianchi. The length operator in Loop Quantum Gravity. Nuclear Physics B, 2009, 807, pp.591-624. ⟨hal-00326467⟩
38 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More