Affiliation:
1. Departamento de Matemática Pura e Aplicada, Universidade Federal do Rio Grande do Sul (UFRGS), Avenida Bento Gonçalves 9500, Caixa Postal 15080, Porto Alegre, RS 91501-970, Brazil.
Abstract
If Ψ is a quaternionic wave function, then iΨ ≠ Ψi. Thus, there are two versions of the quaternionic Schrödinger equation (QSE). In this article, we present the second possibility for solving the QSE, following from a previous article. After developing the general methodology, we present the quaternionic free particle solution and the scattering of the quaternionic particle through a scalar barrier.
Publisher
Canadian Science Publishing
Subject
General Physics and Astronomy
Reference39 articles.
1. J. Vaz and R. da Rocha. An Introduction to Clifford Algebras and Spinors. Oxford University Press. 2016.
2. G.M. Dixon. Division Algebras: octonions, quaternions, complex numbers and the qlgebraic design of physics. Springer. 1994.
3. J.P. Ward. Quaternions and Cayley Numbers. Springer, Dordrecht. 1997.
4. S.L. Adler. Quaternionic Quantum Mechanics and Quantum Fields. Oxford University Press. 1995.
5. Quaternionic quantum field theory
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献