Hilbert space representation of the minimal length uncertainty relation
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields1995Vol. 52(2), pp. 1108–1118
Citations Over TimeTop 10% of 1995 papers
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.
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