SCALING OF VARIABLES AND THE RELATION BETWEEN NONCOMMUTATIVE PARAMETERS IN NONCOMMUTATIVE QUANTUM MECHANICS-Reference-Cited by-同舟云学术

SCALING OF VARIABLES AND THE RELATION BETWEEN NONCOMMUTATIVE PARAMETERS IN NONCOMMUTATIVE QUANTUM MECHANICS

Published:2006-03-28 Issue:10 Volume:21 Page:795-802
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

BERTOLAMI O.¹,ROSA J. G.¹,DE ARAGÃO C. M. L.²,CASTORINA P.²,ZAPPALÀ D.²

Affiliation:

1. Departamento de Física, Instituto Superior Técnico, Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugal

2. Department of Physics, University of Catania and INFN-Sezione di Catania, Cittá Universitaria, Via S. Sofia 64, Catania, Italy

Abstract

We consider noncommutative quantum mechanics with phase space noncommutativity. In particular, we show that a scaling of variables leaves the noncommutative algebra invariant, so that only the self-consistent effective parameters of the model are physically relevant. We also discuss the recently proposed relation of direct proportionality between the noncommutative parameters, showing that it has a limited applicability.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732306019840

Reference13 articles.

1. Noncommutative Quantum Mechanics from Noncommutative Quantum Field Theory

2. Quantum mechanics on the noncommutative plane and sphere

3. Exotic Galilean symmetry in the non-commutative plane and the Hall effect

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