Algebraic algorithms for a class of Schrödinger equations in split quaternionic mechanics-Reference-Cited by-同舟云学术

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

Published:2024-01-29 Issue:7 Volume:47 Page:6205-6215
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Jiang Tongsong¹²³,Wang Gang²^ORCID,Guo Zhenwei²^ORCID,Zhang Dong²^ORCID

Affiliation:

1. School of Electronic Information Shandong Xiandai University Jinan Shandong China

2. Institute of Mathematics and Information Science North‐Eastern Federal University Yakutsk Russia

3. School of Mathematics and Statistics Linyi University Linyi Shandong China

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.

Funder

Russian Science Foundation

Chinese Government Scholarship

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9916

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