Systems with Higher-Order Shape Invariance: Spectral and Algebraic Properties
Andrianov, A. ; Cannata, F. ; Ioffe, M. ; Nishnianidze, D.
arXiv, 9902057 / Harvested from arXiv
Text on arXiv
We study a complex intertwining relation of second order for Schroedinger operators and construct third order symmetry operators for them. A modification of this approach leads to a higher order shape invariance. We analyze with particular attention irreducible second order Darboux transformations which together with the first order act as building blocks. For the third order shape-invariance irreducible Darboux transformations entail only one sequence of equidistant levels while for the reducible case the structure consists of up to three infinite sequences of equidistant levels and, in some cases, singlets or doublets of isolated levels.
Publié le : 1999-02-16
Classification:  Quantum Physics,  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{9902057,
     author = {Andrianov, A. and Cannata, F. and Ioffe, M. and Nishnianidze, D.},
     title = {Systems with Higher-Order Shape Invariance: Spectral and Algebraic
  Properties},
     journal = {arXiv},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9902057}
}

Andrianov, A.; Cannata, F.; Ioffe, M.; Nishnianidze, D. Systems with Higher-Order Shape Invariance: Spectral and Algebraic
  Properties. arXiv, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/9902057/