Noncommutative gravitational quantum well

• Type: Article in International Scientific Journal
• Date: 2005

Authors

bertolami, o (Author) Other; rosa, jg (Author) Other; de aragao, cml (Author) Other; castorina, p (Author) Other; zappala, d (Author) Other

Journal

Title: Physical Review D - Particles, Fields, Gravitation and Cosmology

Vol. 72 No. 9

Pages: 1-9

ISSN: 1550-7998

Publisher: American Physical Society

Indexing

ISI Web of Knowledge - 249 Citations

Scopus - 262 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-000-2QJ

DOI: 10.1103/physrevd.72.025010

Abstract (EN): We study noncommutative geometry at the quantum mechanics level by means of a model where noncommutativity of both configuration and momentum spaces is considered. We analyze how this model affects the problem of the two-dimensional gravitational quantum well and use the latest experimental results for the two lowest energy states of neutrons in the Earth's gravitational field to establish an upper bound on the fundamental momentum scale introduced by noncommutativity, namely, root eta less than or similar to 1 meV/c, a value that can be improved in the future by up to 3 orders of magnitude. We show that the configuration space noncommutativity has, in leading order, no effect on the problem. We also analyze some features introduced by the model, especially a correction to the presently accepted value of Planck's constant to 1 part in 10(24).

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9