Algebraic algorithms for a class of Schrödinger equations in split quaternionic mechanics

Year: 2024

Type: article

Abstract: With the breakthroughs made by physicists in high‐dimensional mathematics, it has become possible to represent and solve a number of classical mathematical physics problems using the split quaternion algebra. In this paper, we study the least squares approximation of a class of Schrödinger equations in split quaternionic mechanics and propose two algebraic algorithms to the generalized right eigen‐problem for an i‐Hermitian split quaternion matrix pencil by using two isomorphic mappings. Numerical examples show the effectiveness of the proposed theories and algorithms.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.9916

Authors: Tongsong Jiang, Gang Wang, Zhenwei Guo, Dong Zhang

Institutions: North-Eastern Federal University, Linyi University, Shandong Modern University

Language: English

Topic: Algebraic and Geometric Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: China Scholarship Council, Russian Science Foundation, Ministry of Science and Higher Education of the Russian Federation, Chinese Government Scholarship

OpenAlex ID: W4391329639