Work

Hilbert space representation of the minimal length uncertainty relation

Year: 1995

Type: article

Abstract: The existence of a minimal observable length has long been suggested in quantum gravity as well as in string theory. In this context a generalized uncertainty relation has been derived which quantum theoretically describes the minimal length as a minimal uncertainty in position measurements. Here we study in full detail the quantum-mechanical structure which underlies this uncertainty relation.

Source: Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

DOI: 10.1103/physrevd.52.1108

Authors: Achim Kempf, Gianpiero Mangano, Robert B. Mann

Institution: University of Cambridge

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Studienstiftung des Deutschen Volkes

OpenAlex ID: W2142397325

FWCI: 4.202

Cites: 18

Cited by: 1,997

Related to: 9