Scattering lengths for additive functionals and their semi-classical asymptotics

DOI10.1007/978-981-19-4672-1_14zbMath1497.60108OpenAlexW4297571846MaRDI QIDQ2088473

Daehong Kim, Masakuni Matsuura

Publication date: 22 October 2022

Full work available at URL: https://doi.org/10.1007/978-981-19-4672-1_14

zbMATH Keywords

additive functionalsscattering lengthrelativistic stable processessemi-classical asymptotics

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Potentials and capacities on other spaces (31C15) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Cites Work

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• Dirichlet forms and symmetric Markov processes.
• An integral representation on the path space for scattering length
• Semi-classical limit of scattering length
• Scattering length and capacity
• Probabilistic methods in some problems of scattering theory
• Scattering length and perturbations of \(-\Delta\) by positive potentials
• Drift transforms and Green function estimates for discontinuous processes
• A remark on Kac's scattering length formula
• Semi-classical asymptotics for scattering length of symmetric stable processes
• \(L^p\)-independence of spectral radius for generalized Feynman-Kac semigroups
• Analytic characterizations of gaugeability for generalized Feynman-Kac functionals
• A formula on scattering length of dual Markov processes
• A formula on scattering length of positive smooth measures
• Semi-classical asymptotics for scattering length and total cross section at zero energy
• Uniform integrability of exponential martingales and spectral bounds of non-local Feynman-Kac semigroups
• On a scattering length for additive functionals and spectrum of fractional Laplacian with a non‐local perturbation

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