Higher Order Matrix SUSY Transformations in Two-Dimensional Quantum Mechanics
High Energy Physics - Theory
2011-07-28 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The iteration procedure of supersymmetric transformations for the two-dimensional Schroedinger operator is implemented by means of the matrix form of factorization in terms of matrix 2x2 supercharges. Two different types of iterations are investigated in detail. The particular case of diagonal initial Hamiltonian is considered, and the existence of solutions is demonstrated. Explicit examples illustrate the construction.
Cite
@article{arxiv.hep-th/0405108,
title = {Higher Order Matrix SUSY Transformations in Two-Dimensional Quantum Mechanics},
author = {F. Cannata and M. V. Ioffe and A. I. Neelov and D. N. Nishnianidze},
journal= {arXiv preprint arXiv:hep-th/0405108},
year = {2011}
}
Comments
15 p