Work

Recovery of the matrix potential of the one-dimensional Dirac equation from spectral data

Year: 2026

Type: article

Abstract: 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 series expansion of the transmutation kernel. A linear algebraic system of equations is obtained, which can be solved numerically. To the best of our knowledge, this is the first practical method for the solution of the inverse problem for the one-dimensional Dirac equation on a finite interval.

Source: Inverse Problems

DOI: 10.1088/1361-6420/ae33ea

Authors: E Roque, S M Torba

Institution: Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,325

OpenAlex ID: W4416011778

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