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Quaternionic eigenvalue problem

S. De Leo·G. Scolarici·L. Solombrino
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Abstract

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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S. De Leo, G. Scolarici, L. Solombrino. 2002-11-26. Quaternionic eigenvalue problem. https://doi.org/10.1063/1.1511789

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