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On the semiclassical expansion for 1-dim xN potentials

Marko Robnik, Valery Romanovski

nlin.CDarXiv:nlin/0003052

Abstract

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

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