Phys. Rev. D 52, 1108–1118 (1995)Hilbert space representation of the minimal length uncertainty relationReceived 20 December 1994; published in the issue dated 15 July 1995 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. © 1995 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.52.1108
DOI:
10.1103/PhysRevD.52.1108
PACS:
03.65.Bz
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