Quantum mechanics and the generalized uncertainty principle

Jang Young Bang and Micheal S. Berger
Phys. Rev. D 74, 125012 – Published 18 December 2006

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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  • Received 23 October 2006

DOI:https://doi.org/10.1103/PhysRevD.74.125012

©2006 American Physical Society

Authors & Affiliations

Jang Young Bang* and Micheal S. Berger

  • Physics Department, Indiana University, Bloomington, Indiana 47405, USA

  • *Electronic address: jybang@indiana.edu
  • Electronic address: berger@indiana.edu

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Issue

Vol. 74, Iss. 12 — 15 December 2006

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