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September 10, 2025AtomsOpen Access

Accurate Nonrelativistic Energy Calculations for Helium 1snp1,3P (n = 2 to 27) States via Correlated B-Spline Basis Functions

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Authors

JCJing ChiShenzhen Center for Disease Control and Prevention HFHao FangNanjing Normal University YZYong-Hui ZhangChinese Academy of Sciences

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Implication

This analysis reveals nonrelativistic energy states of helium, highlighting the precision of correlated b-spline basis functions in complex calculations.

Key Points

The method achieves high-accuracy nonrelativistic energies for helium states up to n=27, enabling better theoretical precision.
Using correlated b-spline basis functions, the results yield at least 14 significant digits for 1snpP1,3 states, confirming computational efficacy.
Both global operator and direct calculation methods validate the efficiency of the C-BSBFs in calculating transition frequencies.
These findings establish a solid foundation for future calculations including relativistic and QED corrections in helium-like ions.

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Chi et al. (2025) studied this question.

synapsesocial.com/papers/68c1b60d54b1d3bfb60eb3a4 https://doi.org/10.3390/atoms13080072

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Implication

This analysis reveals nonrelativistic energy states of helium, highlighting the precision of correlated b-spline basis functions in complex calculations.

Accurate Nonrelativistic Energy Calculations for Helium 1snp1,3P (n = 2 to 27) States via Correlated B-Spline Basis Functions

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Key Points

Cite This Study

Accurate Nonrelativistic Energy Calculations for Helium 1snp1,3P (n = 2 to 27) States via Correlated B-Spline Basis Functions

Discussion

Member takes

Implication

Key Points

Cite This Study

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