Beyond the Basics: Refining Atomic Calculations with High-Order Waves
![Refinements to calculations of scandium’s binding energies - specifically for the ground state multiplet [latex]D_{gs}^{2}[/latex] and the multiplets [latex]D_2^{2}D[/latex] and [latex]D_o^4{}^{4}D^{o}[/latex] - utilize corrections derived from both S and D excitations and are fitted with functions of the form [latex]A/L^q[/latex], demonstrating the nuanced precision required when probing the fundamental properties of matter.](https://arxiv.org/html/2603.11985v1/high_pw_plot_mult.jpg)
New research demonstrates the critical role of high partial waves in accurately modeling the electronic structure of polyvalent atoms like scandium.
![Refinements to calculations of scandium’s binding energies - specifically for the ground state multiplet [latex]D_{gs}^{2}[/latex] and the multiplets [latex]D_2^{2}D[/latex] and [latex]D_o^4{}^{4}D^{o}[/latex] - utilize corrections derived from both S and D excitations and are fitted with functions of the form [latex]A/L^q[/latex], demonstrating the nuanced precision required when probing the fundamental properties of matter.](https://arxiv.org/html/2603.11985v1/high_pw_plot_mult.jpg)
New research demonstrates the critical role of high partial waves in accurately modeling the electronic structure of polyvalent atoms like scandium.

Researchers have developed a method to securely bind embedded software to specific hardware, protecting intellectual property and ensuring functionality only on authorized devices.

A new approach focuses uncertainty quantification in neural operator models on key structural components, improving the accuracy and efficiency of predictions for complex physical systems.
![As a system approaches an electronic quantum critical point, phonon softening and renormalization of the long-wavelength dispersion increase the density of low-energy phonon states, with the thermally excited phonon phase-space volume scaling as [latex]T^{d/z_p}[/latex], where [latex]d[/latex] represents spatial dimension and [latex]z_p[/latex] is the phonon dynamical exponent-a larger [latex]z_p[/latex] indicating a greater low-energy phonon phase space and, consequently, increased scattering potential, particularly when [latex]z_p > d[/latex].](https://arxiv.org/html/2603.11176v1/x1.png)
New research explores whether the softening of atomic vibrations driven by electronic quantum criticality can account for the unusual linear temperature dependence observed in certain metallic materials.
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