Mostrando 6 resultados de: 6
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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:googlescopusA finite-sum representation for solutions for the Jacobi operator
ArticleAbstract: We obtain a finite-sum representation for the general solution of the equation, in terms of a non-vaPalabras claves:Difference equation, Jacobi operator, spectral parameter power seriesAutores:Hugo M. Campos, Kravchenko V.V.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: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: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