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Finite-Element Solution of One-Dimensional Schrödinger Equations

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Ab Initio Variational Calculations of Molecular Vibrational-Rotational Spectra

Part of the book series: Lecture Notes in Chemistry ((LNC,volume 61))

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Abstract

Analytical solutions for the one-dimensional Schrödinger problems can only be obtained for contrived potential energy functions such as the finite-square well, the simple harmonic oscillator and Morse potential problems. As the eigenenergies and eigenfunctions of these systems are known exactly, they serve as useful systems for the assessment of solution algorithms to be applied to more general problems.

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Author information

Authors and Affiliations

  1. Research School of Chemistry, Australian National University, 2600, ACT, Canberra, Australia

    Debra J. Searles

  2. Department of Chemistry, The University of Newcastle, 2308, NSW, Callaghan, Australia

    Ellak I. von Nagy-Felsobuki

Authors
  1. Debra J. Searles
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  2. Ellak I. von Nagy-Felsobuki
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© 1993 Springer-Verlag Berlin Heidelberg

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Searles, D.J., von Nagy-Felsobuki, E.I. (1993). Finite-Element Solution of One-Dimensional Schrödinger Equations. In: Ab Initio Variational Calculations of Molecular Vibrational-Rotational Spectra. Lecture Notes in Chemistry, vol 61. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05561-8_5

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  • DOI: https://doi.org/10.1007/978-3-662-05561-8_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57465-1

  • Online ISBN: 978-3-662-05561-8

  • eBook Packages: Springer Book Archive

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