2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/97587It 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 Hamiltonian9 pages, latex, 3 postscript figures; talk given at the XXIII ICGTMP, Dubna (Russia) August 2000Quantum PhysicsHigh Energy Physics - TheoryMathematical Physicstext