Quantum Mechanics and the Generalized Uncertainty Principle

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.

8 pages, 3 figures (added references)

References in corpus (2)

• Minimum Length Cutoff in Inflation and Uniqueness of the Action
• Coherent States of Harmonic Oscillator and Generalized Uncertainty Principle

Cited by in corpus (6)

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• Modified clock inequalities and modified black hole lifetime
• Supersymmetric Field Theory Based on Generalized Uncertainty Principle