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Phase Space Geometry in Classical and Quantum Mechanics

John R. Klauder
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Abstract

Phase space is the state space of classical mechanics, and this manifold is normally endowed only with a symplectic form. The geometry of quantum mechanics is necessarily more complicated. Arguments will be given to show that augmenting the symplectic manifold of classical phase space with a Riemannian metric is sufficient for describing quantum mechanics. In particular, using such spaces, a fully satisfactory geometric version of quantization will be developed and described.

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John R. Klauder. 2001-12-02. Phase Space Geometry in Classical and Quantum Mechanics. https://doi.org/10.1142/9789812777560_0015

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