High-Order B-Spline Finite Difference Approach for Schrodinger Equation in Quantum Mechanics

Autor:	Archana Senapati, Balaji Padhy, Shashikant Das
Jazyk:	English<br />Russian<br />Ukrainian
Rok vydání:	2024
Předmět:	crank-nicolson method finite element scream von-neumann stability assessment nonic b-spline Physics QC1-999
Zdroj:	East European Journal of Physics, Iss 3, Pp 135-142 (2024)
Druh dokumentu:	article
ISSN:	2312-4334 2312-4539
DOI:	10.26565/2312-4334-2024-3-13
Popis:	This paper presents a new numerical method for solving the quantum mechanical complex-valued Schrodinger equation (CSE). The technique combines a second-order Crank-Nicolson scheme based on the finite element method (FEM) for temporal discretisation with nonic B-spline functions for spatial discretisation. This method is unconditionally stable with the help of Von-Neumann stability analysis. To verify our methodology, we examined an experiment utilising a range of error norms to compare experimental outcomes with analytical solutions. Our investigation verifies that the suggested approach works better than current methods, providing better accuracy and efficiency in quantum mechanical error analysis.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/038c70edfd6f4555be9c1a5fbb7c9e0a Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF