Quantum integrability of quadratic Killing tensors

Abstract : Quantum integrability of classical integrable systems given by quadratic Killing tensors on curved configuration spaces is investigated. It is proven that, using a "minimal" quantization scheme, quantum integrability is insured for a large class of classic examples.
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Submitted on : Thursday, March 17, 2005 - 1:57:16 PM
Last modification on : Friday, January 4, 2019 - 5:32:28 PM
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Christian Duval, Galliano Valent. Quantum integrability of quadratic Killing tensors. Journal of Mathematical Physics, American Institute of Physics (AIP), 2005, 46, pp.053516. ⟨10.1063/1.1899986⟩. ⟨hal-00003609v4⟩

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