Hilbert space representation of the minimal length uncertainty relation

Achim Kempf, Gianpiero Mangano, and Robert B. Mann
Phys. Rev. D 52, 1108 – Published 15 July 1995
PDFExport Citation

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.

  • Received 20 December 1994

DOI:https://doi.org/10.1103/PhysRevD.52.1108

©1995 American Physical Society

Authors & Affiliations

Achim Kempf, Gianpiero Mangano, and Robert B. Mann

  • Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 9EW United Kingdom

References (Subscription Required)

Click to Expand
Issue

Vol. 52, Iss. 2 — 15 July 1995

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×