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  • PACS. 03.65.Ge Solutions of wave equations: bound states – 32.60.+i Zeeman and Stark effects  (1)
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    Electronic Resource
    Electronic Resource
    Accurate summation of the perturbation series for periodic eigenvalue problems (2001)
    Springer
    The European physical journal 15 (2001), S. 41-46 
    Details
    ISSN: 1434-6079
    Keywords: PACS. 03.65.Ge Solutions of wave equations: bound states – 32.60.+i Zeeman and Stark effects
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We show that algebraic approximants prove suitable for the summation of the perturbation series for the eigenvalues of periodic problems. Appropriate algebraic approximants constructed from the perturbation series for a given eigenvalue provide information about other eigenvalues connected with the chosen one by branch points in the complex plane. Such approximants also give those branch points with remarkable accuracy. We choose Mathieu's equation as illustrative example.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100530170181
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