arXiv
Open Access
2024
A Mathematical Definition of Path Integrals on Symplectic Manifolds
Joshua Lackman
Abstrak
We give a mathematical definition of some path integrals, emphasizing those relevant to the quantization of symplectic manifolds (and more generally, Poisson manifolds) $\unicode{x2013}$ in particular, the coherent state path integral. We show that Kähler manifolds provide many computable examples and we emphasize those whose Bergman kernel is constant along the diagonal.
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Joshua Lackman
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2024
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