On the WKB approximation of noncommutative quantum cosmology

E. Mena, O. Obregón, and M. Sabido

Instituto de Física de la Universidad de Guanajuato, P.O. Box E–143, 37150 León Gto., México, e–mail: emena@fisica.ugto.mx, octavio@fisica.ugto.mx, msabido@fisica.ugto.mx

Recibido el 1 de mayo de 2006
Aceptado el 1 de noviembre de 2006

Abstract

In this work we propose a formalism to introduce the effects of noncommutativity to classical cosmological models. The method is based on noncommutative quantum cosmology and by means of a WKB type approximation the noncommutative classical solutions can be obtained.

Keywords: non–commutativity; quantum cosmology.

Resumen

En este trabajo se propone un formalismo para introducir los efectos de la no conmutatividad a modelos cosmológicos clásicos. El método esta basado en la cosmología cuántica no conmutativa en la cual por medio de la aproximación WKB se obtienen las soluciones clásicas no conmutativas.

Descriptores: No conmutatividad; cosmología cuantica.

PACS: 02.40.Gh; 04.60.Kz; 98.80.Qc

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Acknowledgments

We will like to thank M.P. Ryan for enlightening discussions on quantum cosmology. This work was partially supported by CONACyT grants 47641 and 51306, also by PROMEP grants UGTO–CA–3 and PROMEP–PTC–085.

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