NUMERICAL SOLUTION OF SCHRÖDINGER EQUATION USING MATRIX METHOD
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https://doi.org/10.54607/hcmue.js.23.4.5006(2026)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.Downloads
References
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