A fast algorithm for the Schrödinger equation in quaternionic quantum mechanics

DOI10.1016/j.aml.2023.108975MaRDI QIDQ6202747

Tong-Song Jiang, Zhenwei Guo, Vasiliy I. Vasil'ev, Dong Zhang

Publication date: 27 February 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

eigenvalue problemreal representationSchrödinger equationfast algorithmHermitian quaternion matrix

Mathematics Subject Classification ID

Basic linear algebra (15Axx) General mathematical topics and methods in quantum theory (81Qxx) Quantum theory (81-XX)

Cites Work

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• An algebraic method for Schrödinger equations in quaternionic quantum mechanics
• Quaternionic quantum field theory
• Algebraic techniques for Schrödinger equations in split quaternionic mechanics
• On the power method for quaternion right eigenvalue problem
• A new structure-preserving method for quaternion Hermitian eigenvalue problems
• Algebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanics
• A novel algebraic approach for the Schrödinger equation in split quaternionic mechanics
• Algebraic methods for diagonalization of a quaternion matrix in quaternionic quantum theory
• Complex Coordinates and Quantum Mechanics

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