Quantum mechanics and the generalized uncertainty principle

Journal Article · Fri Dec 15 04:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.125012· OSTI ID:20871509

Bang, Jang Young; Berger, Micheal S ^[1]

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1. Physics Department, Indiana University, Bloomington, Indiana 47405 (United States)

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.

• OSTI ID: 20871509
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 74; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EIGENFUNCTIONS
EIGENVALUES
LENGTH
QUANTUM GRAVITY
QUANTUM MECHANICS
UNCERTAINTY PRINCIPLE
WAVE PACKETS