Quaternionic eigenvalue problem

Details Quaternionic eigenvalue problem Quaternionic eigenvalue problem

2002-11-26

arxiv.org/abs/math-ph/0211063v1

Journal of Mathematical Physics v.43, p.5815-5829 (2002)

Physics

Mathematical Physics

13 pages, AMS-TeX

Scientific paper

10.1063/1.1511789

We discuss the (right) eigenvalue equation for $\mathbb{H}$, $\mathbb{C}$ and $\mathbb{R}$ linear quaternionic operators. The possibility to introduce an isomorphism between these operators and real/complex matrices allows to translate the quaternionic problem into an {\em equivalent} real or complex counterpart. Interesting applications are found in solving differential equations within quaternionic formulations of quantum mechanics.

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