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The octonionic eigenvalue problem

Published in Journal of Physics A Mathematical and Theoretical • Jul 23, 2012
Authors:
Stefano De Leo
,
Gisele Ducati

Abstract

By using a real matrix translation, we propose a coupled eigenvalue problem for octonionic operators. In view of possible applications in quantum mechanics, we also discuss the hermiticity of such operators. Previous difficulties in formulating a consistent octonionic Hilbert space are solved by usi...

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