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- Title
Global and local horizon quantum mechanics.
- Authors
Casadio, Roberto; Giugno, Andrea; Giusti, Andrea
- Abstract
Horizons are classical causal structures that arise in systems with sharply defined energy and corresponding gravitational radius. A global gravitational radius operator can be introduced for a static and spherically symmetric quantum mechanical matter state by lifting the classical 'Hamiltonian' constraint that relates the gravitational radius to the ADM mass, thus giving rise to a 'horizon wave-function'. This minisuperspace-like formalism is shown here to be able to consistently describe also the local gravitational radius related to the Misner-Sharp mass function of the quantum source, provided its energy spectrum is determined by spatially localised modes.
- Subjects
QUANTUM mechanics; OPERATOR theory; MATHEMATICAL functions; WAVE functions; TOPOLOGY
- Publication
General Relativity & Gravitation, 2017, Vol 49, Issue 2, p1
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-017-2198-7