Titlebook: Wave Packet Analysis of Feynman Path Integrals; Fabio Nicola,S. Ivan Trapasso Book 2022 The Editor(s) (if applicable) and The Author(s), u

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Semiclassical Gabor AnalysisThe purpose of this chapter is to recast in the spirit of semiclassical analysis some aspects of Gabor analysis that have been discussed in the previous ones, in order to take into account the presence of a small parameter (inspired by the Planck constant) and its asymptotic behaviour.

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Pointwise Convergence of the Integral KernelsIn this chapter we address the problem of the pointwise convergence of the integral kernels of the Feynman-Trotter parametrices for the Schrödinger equation with a quadratic Hamiltonian perturbed by a pseudodifferential potential in suitable low regularity classes.

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Convergence in , for Potentials in Kato-Sobolev SpacesThe goal of this chapter is to derive convergence results in the . operator norm for a standard family of time-slicing approximations introduced by Fujiwara for potentials with at most quadratic growth in low-regularity Kato-Sobolev spaces.

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Fabio Nicola,S. Ivan TrapassoIncludes a self-contained treatment of the background toolkit.Describes a novel approach to the analysis of Feynman path integrals.Provides a detailed exposition of recent advances in mathematical pat

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