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arXiv · 2003.13377

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

H. S. Vieira·V. B. Bezerra·C. R. Muniz·M. S. Cunha·H. R. Christiansen
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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, $0 \leq p \leq 2$. We investigate the minimum value of the scale factor with respect to the maximum value of the probability density.

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H. S. Vieira, V. B. Bezerra, C. R. Muniz, M. S. Cunha, H. R. Christiansen. 2020-08-27. Class of solutions of the Wheeler-DeWitt equation with ordering parameter. https://doi.org/10.1016/j.physletb.2020.135712

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