Polynomial Heisenberg algebras and higher order supersymmetry
Quantum Physics
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
It is shown that the higher order supersymmetric partners of the harmonic oscillator Hamiltonian provide the simplest non-trivial realizations of the polynomial Heisenberg algebras. A linearized version of the corresponding annihilation and creation operator leads to a Fock representation which is the same as for the harmonic oscillator Hamiltonian
Keywords
Cite
@article{arxiv.quant-ph/0011004,
title = {Polynomial Heisenberg algebras and higher order supersymmetry},
author = {David J. Fernandez C. and Veronique Hussin},
journal= {arXiv preprint arXiv:quant-ph/0011004},
year = {2007}
}
Comments
9 pages, latex, 3 postscript figures; talk given at the XXIII ICGTMP, Dubna (Russia) August 2000