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25 April 2024
 
  » arxiv » math-ph/0211063

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Quaternionic eigenvalue problem
S. De Leo ; G. Scolarici ; L. Solombrino ;
Date 26 Nov 2002
Journal Journal of Mathematical Physics v.43, p.5815-5829 (2002)
Subject Mathematical Physics | math-ph math.MP
AffiliationDMA-UniCamp), G. Scolarici (DF-LECCE) and L. Solombrino (DF-LECCE
AbstractWe 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.
Source arXiv, math-ph/0211063
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