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

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 con...

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Veröffentlicht in:Physics letters. B 2020-10, Vol.809, p.135712, Article 135712
Hauptverfasser: Vieira, H.S., Bezerra, V.B., Muniz, C.R., Cunha, M.S., Christiansen, H.R.
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Sprache:eng
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Zusammenfassung: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≤p≤2. We investigate the minimum value of the scale factor with respect to the maximum value of the probability density.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2020.135712