Inflation scenario from canonical quantum cosmology

W. Guzmán, M. Sabido, J. Socorro, and L. Arturo Ureña–López

Instituto de Física de la Universidad de Guanajuato, Apartado Postal E–143, 37150, León, Guanajuato, México, e–mail: wguzman@fisica.ugto.mx, msabido@fisica.ugto.mx, socorro@fisica.ugto.mx, lurena@fisica.ugto.mx

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

Abstract

Using the canonical quantization for the flat FRW cosmological model with scalar field and scalar potential V(Ø), we obtain a differential equation for this potential. Also we present the quantum solution for this model, and under the WKB approximation to get the semiclassical formulation, we give a family of potentials. Finally, the classical evolution of the system is given in the inflation scenary.

Keywords: Exact solutions; quantum cosmology.

Resumen

Usando la cuantización canónica para el modelo cosmológico del FRW plano, con campo escalar y potencial escalar V(Ø), obtenemos una ecuación diferencial para éste potencial. También presentamos la solución cuántica para este modelo, y bajo la aproximación semi–clásica WKB, damos una familia de potenciales. Finalmente, la evolución clásica del sistema es dada en el escenario de inflación.

Descriptores: Soluciones exactas; cosmología cuántica.

PACS: 02.30.Jr; 04.20.Jb; 04.60.Ds; 04.60.Kz; 98.80.Jk; 98.80.Qc

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Acknowledgments

This work was partially supported by CONACYT grants 42748, 46195 and 47641, also PROMEP grants UGTO–CA–3 and UGTO–PTC–085, CONCYTEG grant 05–16–K117–032, DINPO 000085/05

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