Factorization Method in Curvilinear Coordinates and Pairing of Levels for Matrix Potentials
High Energy Physics - Theory
2011-03-07 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
Multidimensional factorization method is formulated in arbitrary curvilinear coordinates. Particular cases of polar and spherical coordinates are considered and matrix potentials with separating variables are constructed. A new class of matrix potentials is obtained which reveals a double degeneracy or equidistant splitting of energy levels (hidden symmetry).
Cite
@article{arxiv.1101.0773,
title = {Factorization Method in Curvilinear Coordinates and Pairing of Levels for Matrix Potentials},
author = {A. A. Andrianov and M. V. Ioffe and Tsu Zhun-Pin},
journal= {arXiv preprint arXiv:1101.0773},
year = {2011}
}
Comments
9 p.p., translated from Russian (see journal reference below)