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Type: Artigo de periódico
Title: Quaternionic differential operators
Author: De Leo, S
Ducati, G
Abstract: Motivated by a quaternionic formulation of quantum mechanics, we discuss quaternionic and complex linear differential equations. We touch only a few aspects of the mathematical theory, namely the resolution of the second order differential equations with constant coefficients. We overcome the problems coming out from the loss of the fundamental theorem of the algebra for quaternions and propose a practical method to solve quaternionic and complex linear second order differential equations with constant coefficients. The resolution of the complex linear Schrodinger equation, in the presence of quaternionic potentials, represents an interesting application of the mathematical material discussed in this paper. (C) 2001 American Institute of Physics.
Country: EUA
Editor: Amer Inst Physics
Rights: aberto
Identifier DOI: 10.1063/1.1360195
Date Issue: 2001
Appears in Collections:Unicamp - Artigos e Outros Documentos

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