达布定理与量子化
Darboux's Theorem and Quantisation
摘要：
已经建立的是，赋予经典相空间一个黎曼度规足以描述量子力学。在这封信中，我们认为，上述条件虽然充分，但在从经典力学过渡到量子力学的过程中肯定不是必需的。相反，我们对量子力学的方法是建立在一个非常类似于辛流形的达布定理的陈述上的。
英文摘要：
It has been established that endowing classical phase space with a Riemannian metric is sufficient for describing quantum mechanics. In this letter we argue that, while sufficient, the above condition is certainly not necessary in passing from classical to quantum mechanics. Instead, our approach to quantum mechanics is modelled on a statement that closely resembles Darboux's theorem for symplectic manifolds.
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