dorsal/arxiv
View SchemaPolynomial Heisenberg algebras and higher order supersymmetry
| Authors | David J. Fernandez C., Veronique Hussin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0011004 |
| URL | https://arxiv.org/abs/quant-ph/0011004 |
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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"abstract": "It is shown that the higher order supersymmetric partners of the harmonic\noscillator Hamiltonian provide the simplest non-trivial realizations of the\npolynomial Heisenberg algebras. A linearized version of the corresponding\nannihilation and creation operator leads to a Fock representation which is the\nsame as for the harmonic oscillator Hamiltonian",
"arxiv_id": "quant-ph/0011004",
"authors": [
"David J. Fernandez C.",
"Veronique Hussin"
],
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"quant-ph",
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"title": "Polynomial Heisenberg algebras and higher order supersymmetry",
"url": "https://arxiv.org/abs/quant-ph/0011004"
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