Asymptotic Evaluation of Benchmark Screening Functionals in the Scalar Temporal Field Ontology
Year: 2026
Type: article
Abstract: We analyze the asymptotic behavior of benchmark nonlocal screening functionals in the Scalar Temporal Field Ontology (STFO). Building on the previously derived semi-analytic formulation, we examine the limits of strong and weak screening corresponding to large and small values of the dimensionless parameter x = μa. In both regimes, the screening functional simplifies, allowing a qualitative determination of the ordering of screening strength across the 1s, 2s, and 2p bound states. We find that both asymptotic limits support the hierarchy 1s > 2s > 2p. The intermediate regime remains the key domain for full quantitative evaluation of the screening functional and provides the primary test of the STFO framework.
Author: Howe, Cale Scott
Language: English
Topic: Atomic and Molecular Physics
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7140030755
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