Scattering theory without large-distance asymptotics in arbitrary dimensions

DOI10.1088/1751-8113/49/46/465202zbMath1352.81054arXiv1509.04611OpenAlexW2257759443MaRDI QIDQ3178685

Wen-Du Li, Wu-Sheng Dai

Publication date: 6 December 2016

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

Full work available at URL: https://arxiv.org/abs/1509.04611

zbMATH Keywords

scattering phase shiftarbitrary dimensionsdimensional renormalizationlarge-distance asymptoticsscattering wave function

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (2)-body potential quantum scattering theory (81U05)

Related Items (8)

Solving eigenproblem by duality transform ⋮ Probability thermodynamics and probability quantum field ⋮ An indirect approach for quantum-mechanical eigenproblems: duality transforms ⋮ Heat kernel approach for confined quantum gas ⋮ Gravitational wave scattering theory without large-distance asymptotics ⋮ Scalar field in Reissner-Nordström spacetime: bound state and scattering state (with appendix on eliminating oscillation in partial sum approximation of periodic function) ⋮ Scattering state and bound state of scalar field in Schwarzschild spacetime: exact solution ⋮ Long-range potential scattering: Converting long-range potential to short-range potential by tortoise coordinate

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