Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Bethe logarithm and QED shift for lithium.

Zong-Chao Yan1, G W F Drake

  • 1Department of Physics, University of New Brunswick, PO Box 4400, Fredericton, New Brunswick, Canada E3B 5A3.

Physical Review Letters
|October 4, 2003
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Measurement of Hyperfine Structure and the Zemach Radius in ^{6}Li^{+} Using Optical Ramsey Technique.

Physical review letters·2023
Same author

Precision Spectroscopy of the Pionic Helium-4.

Physical review letters·2022
Same author

Measurement of a helium tune-out frequency: an independent test of quantum electrodynamics.

Science (New York, N.Y.)·2022
Same author

Atomic physics determination of the fine structure constant.

National science review·2021
Same author

Precision Calculation of Hyperfine Structure and the Zemach Radii of ^{6,7}Li^{+} Ions.

Physical review letters·2020
Same author

Relativistic corrections to the ground states of HD and D

Physical chemistry chemical physics : PCCP·2018
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

This study introduces a new finite basis set method to accurately calculate the Bethe logarithm for lithium, crucial for understanding quantum electrodynamics energy shifts and isotope effects.

Area of Science:

  • Atomic Physics
  • Quantum Electrodynamics
  • Computational Chemistry

Background:

  • The Bethe logarithm is a key quantity in atomic physics, essential for calculating relativistic and quantum electrodynamic (QED) effects in atoms.
  • Accurate calculation of the Bethe logarithm is challenging due to the need to span a wide range of distance scales.

Purpose of the Study:

  • To develop and apply a novel finite basis set method for calculating the Bethe logarithm for lithium.
  • To obtain accurate values for the Bethe logarithm for the ground (2S(1/2)) and excited (3S(1/2)) states of lithium.
  • To compute the complete quantum electrodynamic energy shift up to order alpha(3) Ry and analyze isotope shifts.

Main Methods:

  • A novel finite basis set method was employed.
  • Basis sets were specifically designed to cover a large range of distance scales within a single calculation.

Related Experiment Videos

  • Calculations were performed for the ground 2S(1/2) and excited 3S(1/2) states of lithium.

    • Main Results:

    • Well-converged values for the Bethe logarithm were obtained for both the ground and excited states of lithium.
    • An accurate value for the complete quantum electrodynamic energy shift up to order alpha(3) Ry was calculated.
    • The 3S(1/2)-2S(1/2) transition frequency for 7Li was determined to be 27 206.092 6(9) cm(-1).
    • The ionization potential for the 2S(1/2) state of lithium was calculated as 43 487.158 3(6) cm(-1).

    Conclusions:

    • The novel finite basis set method provides accurate results for the Bethe logarithm and QED corrections in lithium.
    • The calculated transition frequency and ionization potential agree well with experimental data.
    • The study successfully addressed the 7Li-6Li isotope shift, demonstrating the method's applicability to isotopic comparisons.