Mean Sinc Sums and Scale Invariant Scattering
Thomas Curtright
TL;DR
This paper explores the mathematical identities involving sinc functions that arise from scattering in scale-invariant potentials in two dimensions, revealing new theoretical insights.
Contribution
It introduces novel identities related to sinc functions derived from the scattering theory of scale-invariant potentials in two dimensions.
Findings
Derived new sinc sum identities from scattering theory
Established scale invariance implications in 2D scattering
Provided mathematical framework for sinc function identities
Abstract
Scattering from a scale invariant potential in two spatial dimensions leads to a class of novel identities involving the sinc function.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics