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Accurate numerical JWKB calculations for the quartic oscillator

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Abstract

Accurate results for WKB and quantum mechanical approaches to the quartic oscillator are obtained by renormalized perturbation theory. The WKB estimate of \(\uppsi ^{2}\)(0) agrees closely with that obtained using a finite difference method previously published in this journal.

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Authors and Affiliations

  1. School of Engineering, Robert Blackburn Building, University of Hull, Hull, HU6 7RX, UK

    J. P. Killingbeck

  2. Observatoire de Besancon, 41bis, Avenue de L’Observatoire, BP 1615, 25010, Besançon Cedex, Besançon, France

    J. P. Killingbeck & A. Lakhlifi

Authors
  1. J. P. Killingbeck
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  2. A. Lakhlifi
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Correspondence to J. P. Killingbeck.

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Killingbeck, J.P., Lakhlifi, A. Accurate numerical JWKB calculations for the quartic oscillator. J Math Chem 55, 1046–1052 (2017). https://doi.org/10.1007/s10910-017-0734-z

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  • DOI: https://doi.org/10.1007/s10910-017-0734-z

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