An alternative formulation of the "shooting" method for a numerical solution of the Schrödinger equation is described for cases of general asymmetric one-dimensional potential (planar geometry), and spherically symmetric potential. The method relies on matching the asymptotic wavefunctions and the potential core region wavefunctions, in course of finding bound states energies. It is demonstrated in the examples of Morse and Kratzer potentials, where a high accuracy of the calculated eigenvalues is found, together with a considerable saving of the computation time.
TY - JOUR
AU - Indjin, D.
AU - Todorović, Goran
AU - Milanović, V.
AU - Ikonić, Z.
PY - 1995
UR - https://grafar.grf.bg.ac.rs/handle/123456789/9
AB - An alternative formulation of the "shooting" method for a numerical solution of the Schrödinger equation is described for cases of general asymmetric one-dimensional potential (planar geometry), and spherically symmetric potential. The method relies on matching the asymptotic wavefunctions and the potential core region wavefunctions, in course of finding bound states energies. It is demonstrated in the examples of Morse and Kratzer potentials, where a high accuracy of the calculated eigenvalues is found, together with a considerable saving of the computation time.
T2 - Computer Physics Communications
T1 - On numerical solution of the Schrödinger equation: the shooting method revisited
EP - 94
IS - 1
SP - 87
VL - 90
DO - 10.1016/0010-4655(95)00071-M
ER -
@article{
author = "Indjin, D. and Todorović, Goran and Milanović, V. and Ikonić, Z.",
year = "1995",
abstract = "An alternative formulation of the "shooting" method for a numerical solution of the Schrödinger equation is described for cases of general asymmetric one-dimensional potential (planar geometry), and spherically symmetric potential. The method relies on matching the asymptotic wavefunctions and the potential core region wavefunctions, in course of finding bound states energies. It is demonstrated in the examples of Morse and Kratzer potentials, where a high accuracy of the calculated eigenvalues is found, together with a considerable saving of the computation time.",
journal = "Computer Physics Communications",
title = "On numerical solution of the Schrödinger equation: the shooting method revisited",
pages = "94-87",
number = "1",
volume = "90",
doi = "10.1016/0010-4655(95)00071-M"
}
Indjin, D., Todorović, G., Milanović, V.,& Ikonić, Z.. (1995). On numerical solution of the Schrödinger equation: the shooting method revisited. in Computer Physics Communications, 90(1), 87-94.
https://doi.org/10.1016/0010-4655(95)00071-M
Indjin D, Todorović G, Milanović V, Ikonić Z. On numerical solution of the Schrödinger equation: the shooting method revisited. in Computer Physics Communications. 1995;90(1):87-94.
doi:10.1016/0010-4655(95)00071-M .
Indjin, D., Todorović, Goran, Milanović, V., Ikonić, Z., "On numerical solution of the Schrödinger equation: the shooting method revisited" in Computer Physics Communications, 90, no. 1 (1995):87-94,
https://doi.org/10.1016/0010-4655(95)00071-M . .
