RT Journal Article
T1 The Multidimensional Darboux transformation
A1 González López, Artemio
A1 Kamran, Niky
AB 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 ≥ 2. New examples of quasi-exactly solvable multidimensional matrix  Schrödinger  operators on curved manifolds are obtained by applying the above results.
PB Elsevier
SN 0393-0440
YR 1998
FD 1998-07
LK https://hdl.handle.net/20.500.14352/59724
UL https://hdl.handle.net/20.500.14352/59724
LA eng
NO © Elsevier.One of the authors (A.G.-L.) would like to thank A. Galindo, M. Mañas and M. A. Martín Delgado for helpful conversations.
DS Docta Complutense
RD 9 abr 2025