Programme

P.59 -- Posters, VCTP-50

Date: Thursday, 7 August 2025

Time: 08:30 - 10:00

Solving bound and scattering problems using symmetric matrix techniques

Nguyen Gia Huy

Ho Chi Minh city University of Education (HCMUE)

This study presents a numerical method for solving the matrix Schrödinger equation using symmetric tridiagonal and heptadiagonal matrices. It is applied to compute bound and scattering states in the cases: a one-body problem with a square well potential using natural units; the nuclear structure and scattering of the $n+^{16}$O system with physical parameters; and the deuteron structure using the Malfliet–Tjon potential. The numerical results are compared with analytical solutions and alternative computational methods. These comparisons demonstrate that the symmetric heptadiagonal matrix offers improved accuracy, particularly in calculating phase shifts for scattering states.

Presenter: Nguyen Gia Huy