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Article overview
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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 | Affiliation: | DMA-UniCamp), G. Scolarici (DF-LECCE) and L. Solombrino (DF-LECCE | 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. | Source: | arXiv, math-ph/0211063 | Services: | Forum | Review | PDF | Favorites |
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