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Quaternionic eigenvalue problem
Stefano De Leo, Giuseppe Scolarici, Luigi Solombrino
Source abstract
We discuss the (right) eigenvalue equation for ℍ, ℂ and ↛ linear quaternionic operators. The possibility to introduce an isomorphism between these operators and real/complex matrices allows us to translate the quaternionic problem into an equivalent real or complex counterpart. Interesting applications are found in solving differential equations within quaternionic formulations of quantum mechanics.
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