Semi-classical limit of scattering length

DOI10.1007/BF00402895zbMath0813.35074OpenAlexW2053353789MaRDI QIDQ1196675

Hideo Tamura

Publication date: 16 January 1993

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00402895

zbMATH Keywords

finite range potentialelectrostatic capacity of the support

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (4)

A remark on Kac's scattering length formula ⋮ A formula on scattering length of positive smooth measures ⋮ A formula on scattering length of dual Markov processes ⋮ Scattering lengths for additive functionals and their semi-classical asymptotics

Cites Work

• An integral representation on the path space for scattering length
• Spectral properties of Schrödinger operators and time-decay of the wave functions
• Scattering length and capacity
• Approximation of exterior Dirichlet problems; convergence of wave and scattering operators
• Probabilistic methods in some problems of scattering theory

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