4 papers
Recovery of the matrix potential of the one-dimensional Dirac equation from spectral data
Emmanuel Roque, Sergii M. Torba
A method for solving an inverse spectral problem for the one-dimensional Dirac equation is developed. The method is based on the Gelfand-Levitan equation and the Fourier-Legendre s…
Representation of solutions of the one-dimensional Dirac equation in terms of Neumann series of Bessel functions
Emmanuel Roque, Sergii M. Torba
A representation of solutions of the one-dimensional Dirac equation is obtained. The solutions are represented as Neumann series of Bessel functions. The representations are shown…
Spectral parameter power series representation for regular solutions of the radial Dirac system
Emmanuel Roque, Sergii M. Torba
A spectral parameter power series (SPPS) representation for the regular solution of the radial Dirac system with complex coefficients is obtained, as well as a SPPS representation…
Automated solving of constant-coefficients second-order linear PDEs using Fourier analysis
Emmanuel Roque, José A Vallejo
We provide the details of an implementation of Fourier techniques for solving second-order linear partial differential equations (with constant coefficients) using a computer algeb…