ЧИСЛЕННОЕ РЕШЕНИЕ ЗАВИСЯЩЕГО ОТ ВРЕМЕНИ УРАВНЕНИЯ ШРЁДИНГЕРА ДЛЯ КОНКРЕТНЫХ ТИПОВ ПОТЕНЦИАЛОВ

Аннотация

This article examines a numerical approach to solving the time-dependent Schrödinger equation for various types of potentials, such as the potential well, harmonic oscillator, and barrier structures. Finite difference methods and basis function expansion techniques are employed. Simulation results are presented, demonstrating the behavior of the wave function under different conditions. Special attention is paid to the stability and accuracy of numerical algorithms. The results are relevant to quantum mechanics, quantum chemistry, and nanostructure modeling. The proposed approach can be used for both educational and research purposes. Keywords: Schrödinger equation, numerical simulation, wave function, potential, quantum mechanics, harmonic oscillator, potential well, barrier, finite difference method, algorithm, stability, accuracy, discretization, time evolution 1014 ResearchBib IF - 11.01, ISSN: 3030-3753, Volume 2 Issue 4