Violation of the Robertson-Schrodinger uncertainty principle and noncommutative quantum mechanics

• Type: Article in International Scientific Journal
• Date: 2012

Authors

bastos, c (Author) Other; bertolami, o (Author) FCUP; dias, nc (Author) Other; prata, jn (Author) Other

Journal

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

Vol. 86 No. 025008

ISSN: 1550-7998

Publisher: American Physical Society

Indexing

ISI Web of Knowledge - 23 Citations

Scopus - 24 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-002-3BR

DOI: 10.1103/physrevd.86.105030

Abstract (EN): We show that a possible violation of the Robertson-Schrodinger uncertainty principle may signal the existence of a deformation of the Heisenberg-Weyl algebra. More precisely, we prove that any Gaussian in phase space (even if it violates the Robertson-Schrodinger uncertainty principle) will always be a quantum state of an appropriate noncommutative extension of quantum mechanics. Conversely, all canonical noncommutative extensions of quantum mechanics display states that violate the Robertson-Schrodinger uncertainty principle.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6