Quantum integrability of quadratic Killing tensors
Mathematical Physics
2007-05-23 v4 math.MP
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.
Cite
@article{arxiv.math-ph/0412059,
title = {Quantum integrability of quadratic Killing tensors},
author = {Christian Duval and Galliano Valent},
journal= {arXiv preprint arXiv:math-ph/0412059},
year = {2007}
}
Comments
LaTeX 2e, no figure, 35 p., references added, minor modifications. To appear in the J. Math. Phys