Dilaton Quantum Cosmology with a Schrodinger-like equation
  A quantum cosmological model with radiation and a dilaton scalar field is analysed. The Wheeler-deWitt equation in the mini-superspace induces a Schr\"odinger 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 behaviour for the scale factor. 
J. C. Fabris, F. T. Falciano, P. Vargas Moniz, J. Marto, N. Pinto-Neto
gr-qc astro-ph.CO hep-th