Quantum Mechanics and the Generalized Uncertainty Principle

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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8 pages, 3 figures (added references)

Scientific paper

10.1103/PhysRevD.74.125012

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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