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math-ph2020
A Neumann series of Bessel functions representation for solutions of the radial Dirac system
Vladislav V. Kravchenko, Elina L. Shishkina, Sergii M. Torba
A new representation for a regular solution of the radial Dirac system of a special form is obtained. The solution is represented as a Neumann series of Bessel functions uniformly…
math-ph2020
A transmutation operator method for solving the inverse quantum scattering problem
Vladislav V. Kravchenko, Elina L. Shishkina, Sergii M. Torba
The inverse quantum scattering problem for the perturbed Bessel equation is considered. A direct and practical method for solving the problem is proposed. It allows one to reduce t…