Long-range potential scattering: Converting long-range potential to short-range potential by tortoise coordinate

DOI10.1063/5.0024141zbMath1486.81158arXiv1802.05245OpenAlexW4200100462MaRDI QIDQ5020199

Wu-Sheng Dai, Wen-Du Li

Publication date: 4 January 2022

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

Full work available at URL: https://arxiv.org/abs/1802.05245

Mathematics Subject Classification ID

Atomic physics (81V45) (S)-matrix theory, etc. in quantum theory (81U20) (2)-body potential quantum scattering theory (81U05) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50) Special bases (entangled, mutual unbiased, etc.) (81P55)

Related Items (2)

Solving eigenproblem by duality transform ⋮ An indirect approach for quantum-mechanical eigenproblems: duality transforms

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Scattering theory without large-distance asymptotics
• Scattering by a long-range potential
• The quasi-classical limit of quantum scattering theory
• The quasi-classical limit of quantum scattering theory. II. Long-range scattering
• Classical scattering with long range forces
• Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials
• Asymptotic completeness for quantum-mechanical potential scattering. II: singular and long-range potentials
• The scattering amplitude for the Schrödinger equation with a long-range potential
• Scalar scattering in Schwarzschild spacetime: integral equation method
• Exact solution of inverse-square-root potential \(V(r)=-\frac{\alpha}{\sqrt r}\)
• \(R\)-matrix theory of atomic collisions. Application to atomic, molecular and optical processes.
• Scalar field in Reissner-Nordström spacetime: bound state and scattering state (with appendix on eliminating oscillation in partial sum approximation of periodic function)
• Duality family of scalar field
• Scattering state and bound state of scalar field in Schwarzschild spacetime: exact solution
• Upper and lower limits for the number of bound states in a given central potential
• Scattering theory for long range potentials
• Sufficient conditions for the existence of bound states in a central potential
• Scattering theory without large-distance asymptotics in arbitrary dimensions
• Past-Future Asymmetry of the Gravitational Field of a Point Particle
• Low-Energy Expansion of Scattering Phase Shifts for Long-Range Potentials
• Newton and the Transmutation of Force
• Long-range scattering in the position representation
• Necessary and sufficient conditions for existence of bound states in a central potential
• The scattering matrix for the Schrödinger operator with a long-range electromagnetic potential
• Planetary Motion and the Duality of Force Laws

This page was built for publication: Long-range potential scattering: Converting long-range potential to short-range potential by tortoise coordinate