Brazilian Journal of Physics

, Volume 42, Issue 5–6, pp 475–481 | Cite as

Dilaton Quantum Cosmology with a Schrödinger-like Equation

  • J. C. Fabris
  • F. T. Falciano
  • J. Marto
  • N. Pinto-Neto
  • P. Vargas Moniz
Particles and Fields


A quantum cosmological model with radiation and a dilaton scalar field is analyzed. The Wheeler–DeWitt equation in the minisuperspace induces a Schrödinger equation, which can be solved. An explicit wavepacket is constructed for a particular choice of the ordering factor. A consistent solution is possible only when the scalar field is a phantom field. Moreover, although the wavepacket is time-dependent, a Bohmian analysis allows to extract a bouncing behavior for the scale factor.


Quantum cosmology Gravitation Quantum gravity 


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Copyright information

© Sociedade Brasileira de Física 2012

Authors and Affiliations

  • J. C. Fabris
    • 1
  • F. T. Falciano
    • 2
  • J. Marto
    • 3
  • N. Pinto-Neto
    • 2
  • P. Vargas Moniz
    • 3
  1. 1.Departamento de FísicaUniversidade Federal do Espírito SantoVitóriaBrazil
  2. 2.ICRACentro Brasileiro de Pesquisas FísicasUrcaBrazil
  3. 3.Departamento de FísicaUniversidade da Beira InteriorCovilhãPortugal

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