Covariant forms of Lax one-field operators: from Abelian to non-commutative
Mathematical Physics
2007-05-23 v1 Dynamical Systems
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0302053,
title = {Covariant forms of Lax one-field operators: from Abelian to non-commutative},
author = {Sergey Leble},
journal= {arXiv preprint arXiv:math-ph/0302053},
year = {2007}
}
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12 pages