Polynomial Heisenberg algebras and higher order supersymmetry
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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
9 pages, latex, 3 postscript figures; talk given at the XXIII ICGTMP, Dubna (Russia) August 2000
9 pages, latex, 3 postscript figures; talk given at the XXIII ICGTMP, Dubna (Russia) August 2000