Noncommutative Quantum Cosmology

H. García-Compeán; O. Obregón; C. Ramírez

doi:10.1103/PhysRevLett.88.161301

Noncommutative Quantum Cosmology

H. García-Compeán, O. Obregón, and C. Ramírez

Phys. Rev. Lett. 88, 161301 – Published 4 April 2002

Abstract

We propose a model for noncommutative quantum cosmology by means of a deformation of minisuperspace. For the Kantowski-Sachs metric we are able to find the exact wave function. We construct wave packets and show that new quantum states that “compete” to be the most probable state appear, in clear contrast with the commutative case. A tunneling process could be possible among these states.

Received 28 July 2001

DOI:https://doi.org/10.1103/PhysRevLett.88.161301

Authors & Affiliations

H. García-Compeán^1,*, O. Obregón^2,†, and C. Ramírez^3,‡

¹Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, P.O. Box 14-740, 07000, México D.F., México
²Instituto de Física de la Universidad de Guanajuato, P.O. Box E-143, 37150, León Gto., México
³Facultad de Ciencias Físico Matemáticas, Universidad Autónoma de Puebla, P.O. Box 1364, 72000, Puebla, México

^*Email address: compean@fis.cinvestav.mx
^†Email address: octavio@ifug3.ugto.mx
^‡Email address: cramirez@fcfm.buap.mx