183 citations · 1.1k across the 59 of their papers we have counts for
59 papers
Single- and coupled-channel radial inverse scattering with supersymmetric transformations
Daniel Baye, Jean-Marc Sparenberg, Andrey M Pupasov-Maksimov +1
The present status of the coupled-channel inverse-scattering method with supersymmetric transformations is reviewed. We first revisit in a pedagogical way the single-channel case,…
Hermitian Hamiltonian equivalent to a given non-Hermitian one. Manifestation of spectral singularity
Boris F. Samsonov
One of the simplest non-Hermitian Hamiltonians first proposed by Schwartz (1960 {\it Commun. Pure Appl. Math.} \tb{13} 609) which may possess a spectral singularity is analyzed fro…
Supersymmetric operators
Boris F. Samsonov
Being chosen as a differential operator of a special form, metric operator becomes unitary equivalent to a one-dimensional Hermitian Hamiltonian with a natural supersymmetric s…
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…
Reconstructing the nucleon-nucleon potential by a new coupled-channel inversion method
Andrey Pupasov, Boris F. Samsonov, Jean-Marc Sparenberg +1
A second-order supersymmetric transformation is presented, for the two-channel Schrödinger equation with equal thresholds. It adds a Breit-Wigner term to the mixing parameter, with…
PT-symmetric quantum state discrimination
Carl M. Bender, Dorje C. Brody, Joao Caldeira +1
Suppose that a system is known to be in one of two quantum states, or . If these states are not orthogonal, then in conventional quantum mechanics it is impossibl…