The multidimensional Darboux transformation

JOURNAL OF GEOMETRY AND PHYSICS

卷:26

Article

Gonzalez-Lopez, A ; Kamran, N

关键词: Darboux transformation;    Moutard transformation;    quasi-exact solvability;    supersymmetric quantum mechanics;   

DOI  :  10.1016/S0393-0440(97)00044-2

来源: Elsevier

【 摘 要 】

A generalization of the classical one-dimensional Darboux transformation to arbitrary n-dimensional oriented Riemannian manifolds is constructed using an intrinsic formulation based on the properties of twisted Hodge Laplacians, The classical two-dimensional Moutard transformation is also generalized to non-compact oriented Riemannian manifolds of dimension n greater than or equal to 2, New examples of quasi-exactly solvable multidimensional matrix Schrodinger operators on curved manifolds are obtained by applying the above results.

【 授权许可】

Free