Just some simple (but nontrivial) analytical solutions for de Broglie-Bohm quantum cosmology

In this work, we provide some simple analytical solutions to the Wheeler-DeWitt equation for the minisuperspace applied to de Broglie-Bohm quantum cosmology for particular potentials of a scalar matter field ������. One solution describes a constantly rolling scalar field with a quadratic potential plus a negative cosmological constant. The scale factor is given by a Gaussian function. The other solution describes a flat Minkowski universe with the potential of a hilltop form.

Automated summary

This work provides simple analytical solutions for the Wheeler-DeWitt equation applied to de Broglie-Bohm quantum cosmology, focusing on specific potentials of a scalar matter field. One solution describes a rolling scalar field with a quadratic potential and negative cosmological constant, while the other solution describes a flat Minkowski universe with a hilltop potential.