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Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators

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arxiv 1511.08799 v2 pith:PTUZNJXR submitted 2015-11-26 quant-ph math-phmath.MP

classification quant-phmath-phmath.MP
keywords accuratecalculationdiscreteeigenvaluesone-dimensionalspectrumanharmonicapply
verification ladder T0 review T1 audit T2 compute T3 formal
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We draw attention on the fact that the Riccati-Pad\'e method developed some time ago enables the accurate calculation of bound-state eigenvalues as well as of resonances embedded either in the continuum or in the discrete spectrum. We apply the approach to several one-dimensional models that exhibit different kind of spectra. In particular we test a WKB formula for the imaginary part of the resonance in the discrete spectrum of a three-well potential.

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