Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics~I:
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 19, Tome 335 (2006), pp. 22-49
Voir la notice de l'article provenant de la source Math-Net.Ru
Possible factorizations of supersymmetric (SUSY) transformations in one-dimensional Quantum Mechanics into chains of elementary Darboux transformations with non-singular coefficients are investigated. The classification of irreducible (almost) isospectral transformations and of related SUSY algebras is presented. The detailed analysis of SUSY algebras and isospectral operators is
done for the third-order case.
@article{ZNSL_2006_335_a1,
author = {A. A. Andrianov and A. V. Sokolov},
title = {Factorization of nonlinear supersymmetry in one-dimensional {Quantum} {Mechanics~I:}},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {22--49},
publisher = {mathdoc},
volume = {335},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_335_a1/}
}
TY - JOUR AU - A. A. Andrianov AU - A. V. Sokolov TI - Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics~I: JO - Zapiski Nauchnykh Seminarov POMI PY - 2006 SP - 22 EP - 49 VL - 335 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2006_335_a1/ LA - ru ID - ZNSL_2006_335_a1 ER -
A. A. Andrianov; A. V. Sokolov. Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics~I:. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 19, Tome 335 (2006), pp. 22-49. http://geodesic.mathdoc.fr/item/ZNSL_2006_335_a1/