Aspects of Classical and Quantum Nambu Mechanics
نویسندگان
چکیده
We present recent developments in the theory of Nambu mechanics, which include new examples of Nambu-Poisson manifolds with linear Nambu brackets and new representations of Nambu-Heisenberg commutation relations. Mathematics Subject Classification (1991) 70H99, 58F07
منابع مشابه
ar X iv : h ep - t h / 95 07 12 5 v 1 2 4 Ju l 1 99 5 Aspects of Classical and Quantum Nambu Mechanics
We present recent developments in the theory of Nambu mechanics, which include new examples of Nambu-Poisson manifolds with linear Nambu brackets and new representations of Nambu-Heisenberg commutation relations. Mathematics Subject Classification (1991) 70H99, 58F07
متن کامل2 00 2 Classical and Quantum Nambu Mechanics
The classical and quantum features of Nambu mechanics are analyzed and fundamental issues are resolved. The classical theory is reviewed and developed utilizing varied examples. The quantum theory is discussed in a parallel presentation, and illustrated with detailed specific cases. Quantization is carried out with standard Hilbert space methods. With the proper physical interpretation, obtaine...
متن کاملar X iv : h ep - t h / 02 12 26 7 v 2 2 4 D ec 2 00 2 Classical and Quantum Nambu Mechanics
The classical and quantum features of Nambu mechanics are analyzed and fundamental issues are resolved. The classical theory is reviewed and developed utilizing varied examples. The quantum theory is discussed in a parallel presentation, and illustrated with detailed specific cases. Quantization is carried out with standard Hilbert space methods. With the proper physical interpretation, obtaine...
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