Class of solutions of the Wheeler-DeWitt equation with ordering parameter

Abstract

In this letter, we discuss the Wheeler-DeWitt equation with an ordering parameter in the Friedmann-Robertson-Walker universe. The solutions when the universe was very small and at the end of the expansion are obtained in terms of Bessel and Heun functions, respectively. We also obtain a boundary condition which should be satisfied by the ordering parameter, namely, $0\le p\le 2$. We investigate the minimum value of the scale factor with respect to the maximum value of the probability density.

arXiv comment6 pages, 9 figures

References in corpus (4)

• Tunneling wave function of the universe II: the backreaction problem
• Dynamical interpretation of the wavefunction of the universe
• Class of solutions of the Wheeler-DeWitt equation in the Friedmann-Robertson-Walker universe
• Exact solutions of the Wheeler-DeWitt equation with ordering term in a dark energy scenario

Cited by in corpus (3)

• Gravitational Collapse via Wheeler-DeWitt Equation
• Wheeler-DeWitt equation and the late gravitational collapse: effects of factor ordering and the tunneling scenario
• Quantum Cosmology in $f(Q)$ theory