June 20, 2024Open Access

A Mathematical Definition of Path Integrals on Symplectic Manifolds

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Resumen

We give a mathematical definition of some path integrals, emphasizing those relevant to the quantization of symplectic manifolds (and more generally, Poisson manifolds) x2013 in particular, the coherent state path integral. We show that K\"ahler manifolds provide many computable examples.

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Joshua Lackman (Thu,) studied this question.

synapsesocial.com/papers/68e64050b6db6435875d21de https://doi.org/https://doi.org/10.48550/arxiv.2406.14547

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