Covariant forms of Lax one-field operators: from Abelian to non-commutative

Physics – Mathematical Physics

Scientific paper

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12 pages

Scientific paper

Links of factorization theory, supersymmetry and Darboux transformations as
isospectral deformations are considered in the context of quantum theory. The
infinite chain equations for factorizing operators for a spectral problem are
derived. A closure of the chain defines a symmetry of the system. Examples of
matrix-differential operators of Pauli and Dirac type are analyzed.

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