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On the semiclassical expansion for 1-dim $x^N$ potentials

Marko Robnik·Valery Romanovski
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Abstract

In the present paper we study the structure of the WKB series for the polynomial potential $V(x)=x^N$ ($N$ even). In particular, we obtain relatively simple recurrence formula of the coefficients $\s'_k$ of the semiclassical approximation and of the WKB terms for the energy eigenvalues.

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Marko Robnik, Valery Romanovski. 2000-03-24. On the semiclassical expansion for 1-dim $x^N$ potentials. https://doi.org/10.1143/ptps.139.399

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