2026-08-20T02:11:07Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/597242023-08-26T13:21:58Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
González López, Artemio
author
Kamran, Niky
2023-06-20T20:09:56Z
2023-06-20T20:09:56Z
1998-07
0393-0440
10.1016/S0393-0440(97)00044-2
https://hdl.handle.net/20.500.14352/59724
http://dx.doi.org/10.1016/S0393-0440(97)00044-2
http://www.sciencedirect.comhttp://arxiv.org/abs/hep-th/9612100
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.
eng
The Multidimensional Darboux transformation
journal article
URL
https://docta.ucm.es/bitstreams/afb91edf-729a-484d-9c7b-1210a9d693ff/download
File
MD5
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229431
application/pdf
gonzalezlopez39preprint.pdf
URL
https://docta.ucm.es/bitstreams/c20e0735-b7a0-4076-a0e1-b164a203f330/download
File
MD5
0368cff1bce77e294db6f30ab5754ccd
56125
text/plain
gonzalezlopez39preprint.pdf.txt