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Complete Families of Solutions for the Dirac Equation Using Bicomplex Function Theory and Transmutations
ArticleAbstract: The Dirac equation with a scalar and an electromagnetic potential is considered. In the time-harmoniPalabras claves:Bicomplex number, Dirac equation, pseudoanalytic functions, Runge theorem, Transformation operator, Transmutation, Vekua equationAutores:Hugo M. Campos, Kravchenko V.V., Méndez L.Fuentes:googlescopusFundamentals of Bicomplex Pseudoanalytic Function Theory: Cauchy Integral Formulas, Negative Formal Powers and Schrödinger Equations with Complex Coefficients
ArticleAbstract: The study of the Dirac system and second-order elliptic equations with complex-valued coefficients oPalabras claves:Bicomplex number, Cauchy integral formula, Formal power, pseudoanalytic function, Schrödinger equation, Vekua equationAutores:Hugo M. Campos, Kravchenko V.V.Fuentes:googlescopusTransmutations, L-bases and complete families of solutions of the stationary Schrödinger equation in the plane
ArticleAbstract: An L-basis associated to a linear second-order ordinary differential operator L is an infinite sequePalabras claves:Bicomplex number, pseudoanalytic function, Runge approximation theorem, Runge property, Stationary Schrödinger equation, Sturm-Liouville operator, Transformation operator, Transmutation, Vekua equationAutores:Hugo M. Campos, Kravchenko V.V., Torba S.M.Fuentes:googlescopus