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math-ph2025
The Feynman-Kac formula in deformation quantization
Jasel Berra-Montiel, Hugo Garcia-Compean, Alberto Molgado
We introduce the Feynman-Kac formula within the deformation quantization program. Constructing on previous work it is shown that, upon a Wick rotation, the ground state energy of a…
math-ph2024
Star exponentials from propagators and path integrals
Jasel Berra-Montiel, Hugo Garcia-Compean, Alberto Molgado
In this paper we address the relation between the star exponentials emerging within the Deformation Quantization formalism and Feynman's path integrals associated with propagators…