Higher-order supersymmetric quantum mechanics
C, David J Fernandez ; Fernandez-Garcia, Nicolas
arXiv, 0502098 / Harvested from arXiv
Text on arXiv
We review the higher-order supersymmetric quantum mechanics (H-SUSY QM), which involves differential intertwining operators of order greater than one. The iterations of first-order SUSY transformations are used to derive in a simple way the higher-order case. The second order technique is addressed directly, and through this approach unexpected possibilities for designing spectra are uncovered. The formalism is applied to the harmonic oscillator: the corresponding H-SUSY partner Hamiltonians are ruled by polynomial Heisenberg algebras which allow a straight construction of the coherent states.
Publié le : 2005-02-15
Classification:  Quantum Physics,  High Energy Physics - Theory,  Mathematical Physics 
@article{0502098,
     author = {C, David J Fernandez and Fernandez-Garcia, Nicolas},
     title = {Higher-order supersymmetric quantum mechanics},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0502098}
}

C, David J Fernandez; Fernandez-Garcia, Nicolas. Higher-order supersymmetric quantum mechanics. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0502098/