paper

Factorization Method in Curvilinear Coordinates and Pairing of Levels for Matrix Potentials

arXiv:1101.0773

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).

9 p.p., translated from Russian (see journal reference below)

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