Sean Bates coauthored Lectures on the Geometry of Quantization by Sean Bates and Alan Weinstein with Alan Weinstein. The manuscript's title page verifies the byline; its preface traces the notes to Weinstein's courses on symplectic geometry and geometric quantization.[ref]
The lectures connect Hamiltonian mechanics on a symplectic manifold with unitary evolution on a Hilbert space. Their account of half-densities supplies an intrinsic way to define an inner product, avoiding dependence on a chosen coordinate volume element. The contribution is an exposition of the geometry linking the two mathematical descriptions of motion.[ref]
Lectures on the Geometry of Quantization by Sean Bates and Alan Weinstein. Preface and Appendix A
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