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Phys. Rev. D 74, 125012 (2006) [8 pages]

Quantum mechanics and the generalized uncertainty principle

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Jang Young Bang and Micheal S. Berger
Physics Department, Indiana University, Bloomington, Indiana 47405, USA

Received 23 October 2006; published 18 December 2006

Thegeneralized uncertainty principle has been described as a general consequenceof incorporating a minimal length from a theory of quantumgravity. We consider a simple quantum mechanical model where theoperator corresponding to position has discrete eigenvalues and show howthe generalized uncertainty principle results for minimum uncertainty wave packets.

©2006 The American Physical Society

URL:	http://link.aps.org/doi/10.1103/PhysRevD.74.125012
DOI:	10.1103/PhysRevD.74.125012
PACS:	03.65.-w 03.65.-w Quantum mechanics YEAR: 2006
KEYWORDS:	quantum theory, quantum gravity, eigenvalues and eigenfunctions

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