Quick Navigation

Topics

Trapped Ion Quantum Computing

Wichmann-Kroll vacuum polarization correction to lithium-like systems in a Gaussian basis set

arXiv
Authors: Haisum Hayat, Harry M. Quiney

Year

2026

Paper ID

56803

Status

Preprint

Abstract Read

~2 min

Abstract Words

102

Citations

N/A

Abstract

Recent developments have seen the application of finite Gaussian basis sets to the α(Zα)ngeq3 vacuum polarization. The energy shift for s and p electron states have been tabulated and their convergence investigated. In this work, we extend this problem to the multi-electron case. Hartee-Fock potentials obtained self-consistently are used to treat the vacuum polarization for lithium-like systems and are found to be in good agreement with comparable results in the literature. The results presented in this work demonstrate the use of Gaussian basis sets for atomic potentials whose Green's functions expressions cannot be simply obtained via analytic or numerical methods.

Why This Paper Matters

  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • Recent developments have seen the application of finite Gaussian basis sets to the α(Zα)^ngeq3 vacuum polarization.

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

Local Citation Graph (Related-Paper Links)

Current Paper #56803

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0
Likes: 0 Dislikes: 0

Sign in to react to this paper.

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.