Hilbert space representation of the minimal length uncertainty relation
- 15 July 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 52 (2) , 1108-1118
- https://doi.org/10.1103/physrevd.52.1108
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
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