Polynomial Heisenberg algebras and higher order supersymmetry

David J. Fernandez C.; Veronique Hussin

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arXiv · quant-ph/0011004

Polynomial Heisenberg algebras and higher order supersymmetry

David J. Fernandez C.·Veronique Hussin

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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

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David J. Fernandez C., Veronique Hussin. 2000-11-01. Polynomial Heisenberg algebras and higher order supersymmetry. https://arxiv.org/abs/quant-ph/0011004

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