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Quantum Mechanics and the Generalized Uncertainty Principle

Jang Young Bang·Micheal S. Berger
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Abstract

The generalized uncertainty principle has been described as a general consequence of incorporating a minimal length from a theory of quantum gravity. We consider a simple quantum mechanical model where the operator corresponding to position has discrete eigenvalues and show how the generalized uncertainty principle results for minimum uncertainty wave packets.

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Jang Young Bang, Micheal S. Berger. 2006-11-30. Quantum Mechanics and the Generalized Uncertainty Principle. https://doi.org/10.1103/physrevd.74.125012

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