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- Title
Algebraic algorithms for a class of Schrödinger equations in split quaternionic mechanics.
- Authors
Tongsong Jiang; Gang Wang; Zhenwei Guo; Dong Zhang
- 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.
- Subjects
SCHRODINGER equation; MATRIX pencils; LEAST squares; MATHEMATICAL physics; ALGORITHMS; QUATERNION functions
- Publication
Mathematical Methods in the Applied Sciences, 2024, Vol 47, Issue 7, p6205
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.9916