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Title in Portuguese: Extended uncertainty from first principles
Author: Costa Filho, Raimundo Nogueira
Braga, João Philipe Macedo
Lira, Jorge Herbert Soares de
Andrade Júnior, José Soares de
Keywords: Sistemas quânticos
Espaço euclidiano
Issue Date: 2016
Publisher: Physics Letters B
Citation: COSTA FILHO, Raimundo Nogueira; BRAGA, João Philipe Macedo; LIRA, Jorge Herbert Soares de; ANDRADE JÚNIOR, José Soares. Extended uncertainty from first principles. Physics Letters B, v. 775, p. 367-370, 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 depend on 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
Appears in Collections:DMAT - Artigos publicados em revista científica

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