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Pointwise error bounds for the eigenfunctions of one-dimensional Schrödinger operators

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Ordinary and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 564))

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References

  1. N.W. Bazley-D.W. Fox: Lower Bounds for Eigenvalues of Schrödinger's Equation. The Physical Review 124, 483–492, 1961.

    Article  MathSciNet  MATH  Google Scholar 

  2. N.W. Bazley-D.W. Fox: Error Bounds for Approximations to Expectation Values of Unbounded Operators. J. Math. Phys. 7, 413–416, 1966.

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  3. N.W. Bazley-D.W. Fox: Bounds for Eigenfunctions of One-Electron Molecular Systems. Internat. J. of Quantum Chem., III, 581–586, 1969.

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  4. T. Hoffmann-Ostenhof-M. Hoffmann-Ostenhof: Variational bounds to the overlap. Chemical Physics Letters 31, 277–280, 1975.

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  5. T. Küpper: Pointwise lower and upper Bounds for Eigenfunctions of ordinary differential Operators. Battelle Report No. 96, 1975.

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  6. J. Schröder: Monotonie-Eigenschaften bei Differentialgleichungen. Lecture Notes 305, Springer 1973.

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  7. H.J. Stoss: Monotonie-Eigenschaften bei Differentialgleichungen über nichtkompaktem Grundbereich. Num. Math. 15, 61–73 (1970).

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  8. E.C. Titchmarsh: Eigenfunction Expansions associated with second order differential Equations. Clarendon Press Oxford 1946.

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  9. H.F. Weinberger: Error Bounds in the Rayleigh-Ritz Approximation of Eigenvectors. Journal of Research, Nat. Bureau of Standards, 64B, 217–225, 1960.

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Authors
  1. Tassilo Küpper
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William N. Everitt Brian D. Sleeman

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© 1976 Springer-Verlag

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Küpper, T. (1976). Pointwise error bounds for the eigenfunctions of one-dimensional Schrödinger operators. In: Everitt, W.N., Sleeman, B.D. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 564. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087347

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  • DOI: https://doi.org/10.1007/BFb0087347

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08058-9

  • Online ISBN: 978-3-540-37517-3

  • eBook Packages: Springer Book Archive

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