We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Measures of Distance in Quantum Mechanics.
- Authors
Gusin, Pawel; Burys, Daniel; Radosz, Andrzej
- Abstract
Combining gravity with quantum theory is still a work in progress. On the one hand, classical gravity is the geometry of space-time determined by the energy–momentum tensor of matter and the resulting nonlinear equations; on the other hand, the mathematical description of a quantum system is Hilbert space with linear equations describing evolution. In this paper, various measures in Hilbert space will be presented. In general, distance measures in Hilbert space can be divided into measures determined by energy and measures determined by entropy. Entropy measures determine quasi-distance because they do not satisfy all the axioms defining distance. Finding a general rule to determine such a measure unambiguously seems to be fundamental.
- Subjects
QUANTUM mechanics; QUANTUM gravity; QUANTUM theory; VECTOR spaces; EVOLUTION equations; DISTANCES; HILBERT space
- Publication
Universe (2218-1997), 2024, Vol 10, Issue 1, p34
- ISSN
2218-1997
- Publication type
Article
- DOI
10.3390/universe10010034