100 citations · 209 across the 14 of their papers we have counts for
14 papers
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…
Clifford algebra and the projective model of Hyperbolic spaces
Andrey Sokolov
I apply the algebraic framework developed in [1] to study geometry of hyperbolic spaces in 1, 2, and 3 dimensions. The background material on projectivised Clifford algebras and th…
A key to the projective model of homogeneous metric spaces
Andrey Sokolov
A metric introduced on a projective space yields a homogeneous metric space known as a Cayley-Klein geometry. This construction is applicable not only to Euclidean and non-Euclidea…
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…
Clifford algebra and the projective model of Elliptic spaces
Andrey Sokolov
I apply the algebraic framework developed in arXiv:1101.4542 to study geometry of elliptic spaces in 1, 2, and 3 dimensions. The background material on projectivised Clifford algeb…