Dilaton Quantum Cosmology with a Schrodinger-like equation
arXiv:1208.3509 · doi:10.1007/s13538-012-0105-y
Abstract
A quantum cosmological model with radiation and a dilaton scalar field is analysed. The Wheeler-deWitt equation in the mini-superspace 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 behaviour for the scale factor.
14 pages, 3 figures in eps format. Minors corrections, new figures