Hilbert Space Representation of the Minimal Length Uncertainty Relation

Details Hilbert Space Representation of the Minimal Length Uncertainty Relation Hilbert Space Representation of the Minimal Length Uncertainty Relation

1994-12-19

arxiv.org/abs/hep-th/9412167v3

Phys.Rev.D52:1108-1118,1995

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, latex, epsf, 4 figures, final version which appears in Physical Review D

Scientific paper

10.1103/PhysRevD.52.1108

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.

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