Functional sensitivity analysis approach to retrieve the potential energy function from the quantum second virial coefficient

DOI10.1016/j.physa.2019.122539OpenAlexW2972174765MaRDI QIDQ2164293

Nelson H. T. Lemes, Éderson D'M. Costa, J. P. Braga

Publication date: 12 August 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2019.122539

zbMATH Keywords

heliumsecond virial coefficientCalogero's equationfunctional sensitivity analysis approach

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Uses Software

• quadgk
• quadva

Cites Work

• Mathematical analysis of the complete iterative inversion method. I
• High-accuracy calculations of sixteen collision integrals for lennard-Jones (12-6) gases and their interpolation to parameterize neon, argon, and krypton
• Accurate potential energy curve for helium dimer retrieved from viscosity coefficient data at very low temperatures
• Mathematical analysis of the complete iterative inversion method. II
• Vectorized adaptive quadrature in MATLAB
• Potential energy function from second virial data using sensitivity analysis
• Numerical comparison between Tikhonov regularization and singular value decomposition methods using the L curve criterion

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