Showing math.CAShow all
3 papers · 1 filter
math.CA2026
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…
math.CA2025
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…
math.CA2024
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…