Hilbert Space Representation of the Minimal Length Uncertainty Relation

Preprint

19 December 1994

preprint
Published by arXiv in arXiv

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.

Keywords

MINIMAL LENGTH UNCERTAINTY
SPACE REPRESENTATION
UNCERTAINTY RELATION
QUANTUM GRAVITY
HILBERT SPACE

All Related Versions

Version 1, 1994-12-19, ArXiv
Version 2, 1995-01-09, ArXiv
Version 3, 1996-12-12, ArXiv
Published version: Physical Review D, 52 (2), 1108.

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