Spectral parameter power series representation for Hill's discriminant

Details Spectral parameter power series representation for Hill's discriminant Spectral parameter power series representation for Hill's discriminant

2010-02-08

arxiv.org/abs/1002.1514v4

Ann. Phys. 325 (Nov. 2010) 2512-2521

Physics

Mathematical Physics

13 pages, 2 figures, 19 references with titles, a few minor changes in the text

Scientific paper

10.1016/j.aop.2010.06.009

We establish a series representation of the Hill discriminant based on the
spectral parameter power series (SPPS) recently introduced by V. Kravchenko. We
also show the invariance of the Hill discriminant under a Darboux
transformation and employing the Mathieu case the feasibility of this type of
series for numerical calculations of the eigenspectrum

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