Hilbert Space Representation of the Minimal Length Uncertainty Relation
High Energy Physics - Theory
2009-07-09 v3 Quantum Physics
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.
Cite
@article{arxiv.hep-th/9412167,
title = {Hilbert Space Representation of the Minimal Length Uncertainty Relation},
author = {A. Kempf and G. Mangano and R. B. Mann},
journal= {arXiv preprint arXiv:hep-th/9412167},
year = {2009}
}
Comments
21 pages, latex, epsf, 4 figures, final version which appears in Physical Review D