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On One Implementation of the Numerov Method for the One-Dimensional Stationary Schrödinger Equation

  • PHYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. THEORY
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Abstract

We present accurate numerical results for the one-dimensional stationary Schrödinger equation in the case of three quantum problems: quantum harmonic oscillator, radial Schrödinger equation for a Hydrogen atom, and a particle penetration through the potential barrier. All of them were solved by the Numerov method with high accuracy and we plot their wave functions using the results of numerical calculations. Furthermore, we offer accurate numerical methods for solving boundary value problems, eigenvalue problems, matrix elimination.

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ACKNOWLEDGMENTS

Munkhbaatar Purevkhuu wants to express sincere gratitude to his teacher Academician Khavtgai Namsrai for this nice opportunity to grow in this field of research. The authors thank the Computer Center of the Bogolyubov Laboratory of Theoretical Physics for providing the computer facilities, which allow us to carry out our calculations.

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Authors and Affiliations

  1. Bogolyubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Russia

    M. Purevkhuu & V. I. Korobov

  2. Laboratory of Theoretical Physics, Institute of Physics and Technology, 13330, Ulaanbaatar, Mongolia

    M. Purevkhuu

Authors
  1. M. Purevkhuu
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  2. V. I. Korobov
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Correspondence to M. Purevkhuu or V. I. Korobov.

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Purevkhuu, M., Korobov, V.I. On One Implementation of the Numerov Method for the One-Dimensional Stationary Schrödinger Equation. Phys. Part. Nuclei Lett. 18, 153–159 (2021). https://doi.org/10.1134/S154747712102014X

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  • DOI: https://doi.org/10.1134/S154747712102014X

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