Renormalization for singular-potential scattering
Wen-Du Li, Wu-Sheng Dai
TL;DR
This paper introduces three renormalization schemes—dimensional, analytic continuation, and minimal subtraction—to address divergences in quantum-mechanical singular-potential scattering calculations.
Contribution
It proposes novel renormalization methods specifically designed for singular potentials in quantum scattering problems.
Findings
Successfully removes divergences in singular potential scattering calculations.
Provides a framework for applying renormalization schemes in quantum mechanics.
Enhances the accuracy of scattering predictions involving singular potentials.
Abstract
In the calculation of quantum-mechanical singular-potential scattering, one encounters divergence. We suggest three renormalization schemes, dimensional renormalization, analytic continuation approach, and minimal-subtraction scheme to remove the divergence.
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Taxonomy
TopicsQuantum Electrodynamics and Casimir Effect · Cold Atom Physics and Bose-Einstein Condensates · Quantum Mechanics and Non-Hermitian Physics