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Class of solutions of the Wheeler-DeWitt equation with ordering parameter
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30 March 2020
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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, \(p \leq 1\). We investigate the minimum value of the scale factor with respect to the maximum value of the probability density.