On the semiclassical expansion for 1-dim x^N potentials
classification
🌊 nlin.CD
nlin.SI
keywords
semiclassicalapproximationcoefficientseigenvaluesenergyevenexpansionformula
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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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