Quantum integrability of quadratic Killing tensors

被引：35
作者：
Duval, C
Valent, G
机构：
[1] Univ Aix Marseille 1, Ctr Phys Theor, CNRS, UMR 6207, F-13288 Marseille, France
[2] Univ Aix Marseille 2, Ctr Phys Theor, CNRS, UMR 6207, F-13288 Marseille, France
[3] Univ Sud Toulon Var, Ctr Phys Theor, CNRS, UMR 6207, F-13288 Marseille, France
[4] Univ Paris 06, Phys Theor & Hautes Energies Lab, CNRS, UMR 7589, F-75251 Paris, France
[5] Univ Paris 07, Phys Theor & Hautes Energies Lab, CNRS, UMR 7589, F-75251 Paris, France
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2005年 / 46卷 / 05期
关键词：
D O I：
10.1063/1.1899986
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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 ensured for a large class of classic examples. (C) 2005 American Institute of Physics.
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页数：22
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