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arxiv: hep-th/9412167 · v3 · submitted 1994-12-19 · ✦ hep-th · quant-ph

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Hilbert Space Representation of the Minimal Length Uncertainty Relation

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classification ✦ hep-th quant-ph
keywords minimaluncertaintylengthquantumrelationbeencontextderived
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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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