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Extraction of continuum properties from L2 basis set matrix representations of the schrödinger equation: the sturm sequence polynomials and gauss quadrature

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Numerical Integration of Differential Equations and Large Linear Systems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 968))

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References

  1. For an overview through 1978, see W.P. Reinhardt, Comp. Phys. Comm. 17, 1 (1979) and references therein, as well as Ref. 2,7,9 and 10 below.

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  2. E.J. Heller, W.P. Reinhardt and H.A. Yamani, J. Comput. Phys. 13, 536 (1973); E. J. Heller, T.N. Rescigno, and W.P. Reinhardt, Phys. Rev. A 8, 2946 (1973); H.A. Yamani and W.P. Reinhardt, Phys. Rev. A11, 1156 (1975); J.T. Broad, Phys. Rev. A18, 1012 (1978).

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  3. E.-W. Knapp and D.J. Diestler, J.Chem.Phys. 67, 4969 (1977); D.J. Diestler, this volume.

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  4. R.G. Newton, Scattering Theory of Waves and Particles (McGraw-Hill, New York, 1966), especially Chapter 12.

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  6. Higher Transcendental Functions, Bateman Manuscript Project, A. Erdeýli ed. (McGraw-Hill, New York 1953), Vols I and II.

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  7. Int.J.Quantum Chem. 14, No. 4 (1978) is devoted entirely to complex scaling; C.W. McUrdy and T.N. Rescigno, Phys. Rev. A21, 1499 (1980) and references therein.

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  8. H.A. Yamani and W.P. Reinhardt, Phys. Rev. A11, 1156 (1975).

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  1. Fakultät für Chemie, Universität Bielefeld, Postfach 8640, D-48, Bielefeld, Germany

    John T. Broad

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  1. John T. Broad
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Juergen Hinze

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© 1982 Springer-Verlag

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Broad, J.T. (1982). Extraction of continuum properties from L2 basis set matrix representations of the schrödinger equation: the sturm sequence polynomials and gauss quadrature. In: Hinze, J. (eds) Numerical Integration of Differential Equations and Large Linear Systems. Lecture Notes in Mathematics, vol 968. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064881

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  • DOI: https://doi.org/10.1007/BFb0064881

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11970-8

  • Online ISBN: 978-3-540-39374-0

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