Physics:Volume operator
From HandWiki
A quantum field theory of general relativity provides operators that measure the geometry of spacetime. The volume operator [math]\displaystyle{ V(R) }[/math] of a region [math]\displaystyle{ R }[/math] is defined as the operator that yields the expectation value of a volume measurement of the region [math]\displaystyle{ R }[/math], given a state [math]\displaystyle{ \psi }[/math] of quantum General Relativity. I.e.[math]\displaystyle{ \lang \psi, V(R) \psi \rang }[/math] is the expectation value for the volume of [math]\displaystyle{ R }[/math]. Loop Quantum Gravity, for example, provides volume operators, area operators and length operators for regions, surfaces and path respectively.
Sources
- Carlo Rovelli and Lee Smolin, "Discreteness of Area and Volume in Quantum Gravity", Nuclear Physics B 442, 593 (1995).
- Abhay Ashtekar and Jerzy Lewandowski, Quantum Theory of Geometry II: Volume operators
 | This article uses only URLs for external sources. (2021) (Learn how and when to remove this template message) |
 | This article does not cite any external source. HandWiki requires at least one external source. See citing external sources. (2021) (Learn how and when to remove this template message) |
 |  |
