Abstract:In this paper, we use the WKB approximation method to approximately solve a deformed Schrodinger-like differential equation:, which are frequently dealt with in various effective models of quantum gravity, where the parameter α characterizes effects of quantum gravity. For an arbitrary function g (x) satisfying several properties proposed in the paper, we find the WKB solutions, the WKB connection formulas through a turning point, the deformed Bohr-Sommerfeld quantization rule, and the deformed tunneling rate … Show more
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