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arxiv: 1001.0495 · v1 · pith:EYXML63Xnew · submitted 2010-01-04 · 🧮 math-ph · math.MP· quant-ph

Ma-Xu quantization rule and exact WKB condition for translationally shape invariant potentials

classification 🧮 math-ph math.MPquant-ph
keywords invariantpotentialsquantizationshapetranslationallyconditiondirectexact
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For translationally shape invariant potentials, the exact quantization rule proposed by Ma and Xu is a direct consequence of exactness of the modified WKB quantization condition proved by Barclay. We propose here a very direct alternative way to calculate the appropriate correction for the whole class of translationally shape invariant potentials.

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