100 citations · 209 across the 14 of their papers we have counts for
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Polynomial supersymmetry for matrix Hamiltonians: proofs
Andrey V. Sokolov
In this paper we continue studying of matrix linear differential intertwining operators. The problems of minimization and of reducibility of matrix intertwining operato…
Minimal Realizations of Supersymmetry for Matrix Hamiltonians
Alexander A. Andrianov, Andrey V. Sokolov
The notions of weak and strong minimizability of a matrix intertwining operator are introduced. Criterion of strong minimizability of a matrix intertwining operator is revealed. Cr…
Spectral Design for Matrix Hamiltonians: Different Methods of Constructing of a Matrix Intertwining Operator
Andrey V. Sokolov
We study intertwining relations for matrix non-Hermitian, in general, one-dimensional Hamiltonians by matrix linear differential operators with nondegenerat…
Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs
Andrey V. Sokolov
This part is a continuation of the Part I where we built resolutions of identity for certain non-Hermitian Hamiltonians constructed of biorthogonal sets of their eigen- and associa…
Resolutions of Identity for Some Non-Hermitian Hamiltonians. I. Exceptional Point in Continuous Spectrum
Alexander A. Andrianov, Andrey V. Sokolov
Resolutions of identity for certain non-Hermitian Hamiltonians constructed from biorthogonal sets of their eigen- and associated functions are given for the spectral problem define…
Non-linear Supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians: II. Rigorous results
A. V. Sokolov
We continue our investigation of the nonlinear SUSY for complex potentials started in the Part I (math-ph/0610024) and prove the theorems characterizing its structure in the case o…