Dilaton Quantum Cosmology with a Schrödinger-like Equation
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- Fabris, J.C., Falciano, F.T., Marto, J. et al. Braz J Phys (2012) 42: 475. doi:10.1007/s13538-012-0105-y
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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.