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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