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- W4385435144 abstract "In the framework of the dynamical solution of Schrödinger’s 1931 problem, we compare key aspects of its Lagrangian and Hamiltonian formalisms. This theory is regarded as a stochastic regularization of classical mechanics, in analogy with Feynman’s (informal) path integral approach to quantum mechanics. The role of our counterpart of quantum gauge invariance, in the above stochastic framework, will be described. It establishes, in particular, new dynamical relations between classes of diffusion processes, when the theory is restricted to a natural generalization of Schrödinger’s original problem, and illustrates differences between the stochastic Lagrangian and Hamiltonian formulations." @default.
- W4385435144 created "2023-08-01" @default.
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- W4385435144 date "2023-01-01" @default.
- W4385435144 modified "2023-09-27" @default.
- W4385435144 title "Gauge Transformations in Stochastic Geometric Mechanics" @default.
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- W4385435144 doi "https://doi.org/10.1007/978-3-031-38271-0_58" @default.
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