A symbolic-numeric approach for solving the eigenvalue problem for the one-dimensional schrödinger equation

I. N. Belyaeva; N. A. Chekanov; A. A. Gusev; V. A. Rostovtsev; S. I. Vinitsky

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A symbolic-numeric approach for solving the eigenvalue problem for the one-dimensional schrödinger equation

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2006) 4194 LNCS 23-32

DOI: 10.1007/11870814_2

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Abstract

A general scheme of a symbolic-numeric approach for solving the eigenvalue problem for the one-dimensional Shrödinger equation is presented. The corresponding algorithm of the developed program EWA using a conventional pseudocode is described too. With the help of this program the energy spectra and the wave functions for some Schrödinger operators such as quartic, sextic, octic anharmonic oscillators including the quartic oscillator with double well are calculated. © Springer-Verlag Berlin Heidelberg 2006.

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Belyaeva, I. N., Chekanov, N. A., Gusev, A. A., Rostovtsev, V. A., & Vinitsky, S. I. (2006). A symbolic-numeric approach for solving the eigenvalue problem for the one-dimensional schrödinger equation. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4194 LNCS, pp. 23–32). Springer Verlag. https://doi.org/10.1007/11870814_2

A symbolic-numeric approach for solving the eigenvalue problem for the one-dimensional schrödinger equation

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