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Ψ=We ±Φ Quantum cosmological solutions for class A Bianchi models

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Abstract

We find exact solutions to the Wheeler-DeWitt equation, for a certain factor ordering. They have the form Ψ=We ±Φ for class A Bianchi models, where Φ is a solution to the classical Hamilton-Jacobi equation, generalizing the only known solution of Moncrief and Ryan for the Bianchi type IX model in standard quantum cosmology. The same kind of solution has also been found in supersymmetric quantum cosmology.

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Authors and Affiliations

  1. Instituto de Física de la Universidad de Guanajuato, P.O. Box E-143, 37150, León, Gto, México

    O. Obregón & J. Socorro

  2. Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, P.O. Box 55-534, 09340, D. F., México

    O. Obregón

Authors
  1. O. Obregón
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  2. J. Socorro
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Obregón, O., Socorro, J. Ψ=We ±Φ Quantum cosmological solutions for class A Bianchi models. Int J Theor Phys 35, 1381–1388 (1996). https://doi.org/10.1007/BF02084947

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  • DOI: https://doi.org/10.1007/BF02084947

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