A novel algebraic approach for the Schrödinger equation in split quaternionic mechanics

DOI10.1016/j.aml.2022.108485OpenAlexW4307062502MaRDI QIDQ2106124

Zhenwei Guo, Gang Wang, Tong-Song Jiang, Vasiliy I. Vasil'ev

Publication date: 8 December 2022

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

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108485

zbMATH Keywords

real representationsplit quaternionic mechanicssplit quaternionic Schrödinger equation\(\operatorname{i}\)-Hermitian split quaternion matrixright eigen-problem

Mathematics Subject Classification ID

Hamilton's equations (70H05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Eigenvalues, singular values, and eigenvectors (15A18) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (2)

An efficient method for the split quaternion equality constrained least squares problem in split quaternionic mechanics ⋮ A fast algorithm for the Schrödinger equation in quaternionic quantum mechanics

Cites Work

• Complex trajectories in the quartic oscillator and its semiclassical coherent-state propagator
• On the roots of coquaternions
• Algebraic techniques for Schrödinger equations in split quaternionic mechanics
• Algebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanics
• Some remarks on complex Hamiltonian systems
• Algebraic techniques for diagonalization of a split quaternion matrix in split quaternionic mechanics
• Non-Hermitian Quantum Mechanics
• On complexified mechanics and coquaternions
• 𝓟𝓣-symmetric quantum mechanics
• Complex Coordinates and Quantum Mechanics

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