93 citations · 158 across the 5 of their papers we have counts for
5 papers · 1 filter
Singular matrix Darboux transformations in the inverse scattering method
A. A. Pecheritsin, A. M. Pupasov, Boris F. Samsonov
Singular Darboux transformations, in contrast to the conventional ones, have a singular matrix as a coefficient before the derivative. We incorporated such transformations into a c…
New exactly solvable periodic potentials for the Dirac equation
B. F. Samsonov, A. A. Pecheritsin, E. O. Pozdeeva +1
A new exactly solvable relativistic periodic potential is obtained by the periodic extension of a well-known transparent scalar potential. It is found that the energy band edges ar…
Intertwining technique for the one-dimensional stationary Dirac equation
L. M. Nieto, A. A. Pecheritsin, Boris F. Samsonov
The technique of differential intertwining operators (or Darboux transformation operators) is systematically applied to the one-dimensional Dirac equation. The following aspects ar…
Chains of Darboux transformations for the matrix Schroedinger equation
Boris F Samsonov, AA Pecheritsin
Chains of Darboux transformations for the matrix Schroedinger equation are considered. Matrix generalization of the well-known for the scalar equation Crum-Krein formulas for the r…
Darboux transformations and hidden quadratic supersymmetry of the one-dimensional stationary Dirac equation
N. Debergh, A. A. Pecheritsin, B. F. Samsonov +1
A matricial Darboux operator intertwining two one-dimensional stationary Dirac Hamiltonians is constructed. This operator is such that the potential of the second Dirac Hamiltonian…