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Title in Portuguese: Extended uncertainty from first principles
Author: Costa Filho, Raimundo Nogueira da
Braga, João Philipe Macedo
Lira, Jorge Herbert Soares de
Andrade Júnior, José Soares de
Keywords: Gravidade quântica
Teorema de Ehrenfest
Equação de Schrödinger
Issue Date: 2016
Citation: COSTA FILHO, R. N. C.; BRAGA, J. P. M.; LIRA, J. H. S.; ANDRADE JÚNIOR, J. S. Extended uncertainty from first principles. Physics Letters B, Amsterdã, v. 755, p. 67-370, 2016.
Abstract: 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 dependon the metric. It is also shown that, for any metric expanded up to second order, this formalism naturally leads to an extended uncertainty principle (EUP) with a minimum momentum dispersion. The Ehrenfest theorem is modified to include an additional term related to a tidal force arriving from the space curvature introduced by the metric. For one-dimensional systems, we show how to map a harmonic potential to an effective potential in Euclidean space using different metrics.
metadata.dc.type: Artigo de Periódico
ISSN: 0370-2693
Appears in Collections:DFI - Artigos publicados em revista científica

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