On the Stability of Finite Difference Scheme for the Schrödinger Equation Including Momentum Operator

Year 2022, Volume: 7 Issue: 2, 107 - 115, 30.09.2022

Nigar Yıldırım Aksoy Emel Sarıahmet

Abstract

In this paper, we apply the finite difference method to a Schrödinger equation which contains a momentum operator. For this, we constitute a difference scheme. A priori estimate for the solution of difference scheme is obtained. By using this estimate, we prove that the difference scheme is unconditionally stable.

Keywords

Schrödinger equation, finite difference method, stability

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