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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:googlescopusConstruction and application of Bergman-type reproducing kernels for boundary and eigenvalue problems in the plane
ArticleAbstract: We show how the Bergman-type reproducing kernels for the elliptic operator D = div p grad + q with vPalabras claves:Bergman kernel, generalized analytic function, pseudoanalytic function, reproducing kernel, Schrödinger equationAutores:Hugo M. Campos, Kravchenko V.V., Perez R.Fuentes:googlescopusConstruction and use of reproducing kernels for boundary and eigenvalue problems in the plane using pseudoanalytic function theory
Conference ObjectAbstract: We show how the Bergman-type reproducing kernels for the elliptic operator D= div p grad + q with vaPalabras claves:Autores:Hugo M. Campos, Kravchenko V.V., Perez R.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:googlescopusStandard transmutation operators for the one dimensional Schrödinger operator with a locally integrable potential
ArticleAbstract: We study a special class of operators T satisfying the transmutation relation ([formula presented]−qPalabras claves:Goursat problem, Schrödinger operator, spectral parameter power series, Transformation operator, Transmutation, weak solutionAutores:Hugo M. CamposFuentes:googlescopusThe Bergman kernel for the Vekua equation
Conference ObjectAbstract: The paper extends some well-known results for analytic functions onto solutions of the Vekua equatioPalabras claves:Bergman kernel, generalizations of Bers or Vekua type, generalized analytic functions, pseudoanalytic functions, Vekua equationAutores:Hugo M. Campos, Kravchenko V.V.Fuentes:scopus