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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

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).

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