Extended uncertainty from first principles

A translation operator acting in a space with a diagonal metric is introduced to describe the motion of a particle in a quantum system. We show that the momentum operator and, as a consequence, the uncertainty relation now depend on the metric. It is also shown that, for any metric expanded up to se...

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Bibliographic Details
Main Authors: Raimundo N. Costa Filho, João P.M. Braga, Jorge H.S. Lira, José S. Andrade, Jr.
Format: Article
Language:English
Published: Elsevier 2016-04-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269316001313