Intertwining relations of non-stationary Schr\"odinger operators
Cannata, F. ; Ioffe, M. ; Junker, G. ; Nishnianidze, D.
arXiv, 9810033 / Harvested from arXiv
Text on arXiv
General first- and higher-order intertwining relations between non-stationary one-dimensional Schr\"odinger operators are introduced. For the first-order case it is shown that the intertwining relations imply some hidden symmetry which in turn results in a $R$-separation of variables. The Fokker-Planck and diffusion equation are briefly considered. Second-order intertwining operators are also discussed within a general approach. However, due to its complicated structure only particular solutions are given in some detail.
Publié le : 1998-10-13
Classification:  Quantum Physics,  High Energy Physics - Theory,  Mathematical Physics 
@article{9810033,
     author = {Cannata, F. and Ioffe, M. and Junker, G. and Nishnianidze, D.},
     title = {Intertwining relations of non-stationary Schr\"odinger operators},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9810033}
}

Cannata, F.; Ioffe, M.; Junker, G.; Nishnianidze, D. Intertwining relations of non-stationary Schr\"odinger operators. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9810033/