183 citations · 320 across the 15 of their papers we have counts for
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Intertwining technique for a system of difference Schroedinger equations and new exactly solvable multichannel potentials
L. M. Nieto, B. F. Samsonov, A. A. Suzko
The intertwining operator technique is applied to difference Schroedinger equations with operator-valued coefficients. It is shown that these equations appear naturally when a disc…
Second Order Darboux Displacements
B F Samsonov, M L Glasser, J Negro +1
The potentials for a one dimensional Schroedinger equation that are displaced along the x axis under second order Darboux transformations, called 2-SUSY invariant, are characterize…
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…
Supersymmetric manipulation of quasienergy states. Application to the Berry phase
B. F. Samsonov, M. L. Glasser, L. M. Nieto
Time-dependent supersymmetry allows one to delete quasienergy levels for time-periodic Hamiltonians and to create new ones. We illustrate this by examining an exactly solvable mode…
Nonlocal supersymmetric deformations of periodic potentials
David J. Fernandez C., Bogdan Mielnik, Oscar Rosas-Ortiz +1
Irreducible second-order Darboux transformations are applied to the periodic Schrodinger's operators. It is shown that for the pairs of factorization energies inside of the same fo…
Discrete supersymmetries of the Schrodinger equation and non-local exactly solvable potentials
Boris F. Samsonov, A. A. Suzko
Using an isomorphism between Hilbert spaces and we consider Hamiltonians which have tridiagonal matrix representations (Jacobi matrices) in a discrete basis and an…