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Tiếng Việt
Issue: Tập 23, Số 4 (2026)
Section: Articles
DOI: 10.54607/hcmue.js.23.4.5006(2026)
Date Published: 29/04/2026
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Nguyen, G. H., Nguyen, V. T. N., & Nguyen, L. A. (2026). NUMERICAL SOLUTION OF SCHRÖDINGER EQUATION USING MATRIX METHOD. Ho Chi Minh City University of Education Journal of Science, 23(4), 966-975. https://doi.org/10.54607/hcmue.js.23.4.5006(2026)

NUMERICAL SOLUTION OF SCHRÖDINGER EQUATION USING MATRIX METHOD

Nguyen Gia Huy1, , Nguyen Vu Thu Nhan1, Nguyen Le Anh1
1 Ho Chi Minh City University of Education, Vietnam

Main Article Content

Abstract

This study presents a numerical method for solving the matrix Schrödinger equation using symmetric tridiagonal and heptadiagonal matrices. The approach is based on the -th order Taylor series expansion to approximate second-order derivatives. It is applied to investigate both bound and scattering states in two cases: a one-body problem with a square well potential using natural units, and the nuclear structure and scattering of the n+16O system with physical parameters. The numerical results are compared with analytical solutions and those obtained using the Numerov method. These comparisons demonstrate that the symmetric heptadiagonal matrix offers higher accuracy, particularly in calculating phase shifts for scattering states.

Keywords

matrix diagonalization, Schrödinger equation

Article Details

References

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