Low-energy potential scattering in two and three dimensions

DOI10.1063/1.3167803zbMath1298.81356arXiv0812.4054OpenAlexW3105964265MaRDI QIDQ3069137

André Martin, N. N. Khuri, Tai Tsun Wu, Jean-Marc Richard

Publication date: 24 January 2011

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

Full work available at URL: https://arxiv.org/abs/0812.4054

zbMATH Keywords

potential scatteringbound states

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) (S)-matrix theory, etc. in quantum theory (81U20) (2)-body potential quantum scattering theory (81U05) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (4)

Explicit formulas for the Schrödinger wave operators in \(\mathbb R^2\) ⋮ Energies of weakly bound and near-threshold resonance states of a quantum particle in a two-dimensional plane ⋮ The length and effective radius of two-dimensional scattering of a quantum particle by a centrally symmetric short-range potential ⋮ Effective-radius approximation in the problem of two-dimensional scattering by a central short-range potential

Cites Work

• Low-energy parameters in nonrelativistic scattering theory
• Universality of low-energy scattering in 2+1 dimensions: The nonsymmetric case
• On the validity of Levison’s theorem for non-local interactions
• Some remarks on effective range formulae in potential scattering
• On the Interpretation of Neutron-Proton Scattering Data by the Schwinger Variational Method
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