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Related Concept Videos

The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra. Schrödinger...
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Related Experiment Video

Updated: May 15, 2026

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
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Published on: August 22, 2017

KANs for deuteron wave function approximation with simplified chiral EFT.

Hassan Khalili1, Ali Shabani2, Mahdi Azad Marzabadi2

  • 1Department of Physics, Faculty of Sciences, Arak University, Arak, Iran. h-khalili@araku.ac.ir.

Scientific Reports
|May 13, 2026
PubMed
Summary
This summary is machine-generated.

Kolmogorov-Arnold Networks (KANs) offer a faster, more stable way to calculate nuclear properties. This new method accurately models short-range nuclear forces, outperforming traditional models for complex quantum systems.

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Last Updated: May 15, 2026

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
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Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

Area of Science:

  • Computational Physics
  • Quantum Mechanics
  • Nuclear Physics

Background:

  • Variational Monte Carlo (VMC) methods are crucial for nuclear structure calculations.
  • Representing short-range nuclear interactions and high-order derivatives in wave functions is challenging.
  • Multilayer perceptrons (MLPs) have limitations in accurately modeling these complex quantum phenomena.

Purpose of the Study:

  • Introduce Kolmogorov-Arnold Networks (KANs) as a novel framework for VMC calculations.
  • Demonstrate KANs' effectiveness in approximating quantum wave functions, especially short-range cusps.
  • Establish KAN-VMC as a scalable approach for computationally demanding nuclear systems.

Main Methods:

  • Employed VMC with the Adam optimizer to sample KAN-parameterized wave functions.
  • Utilized a leading-order Chiral Effective Field Theory (EFT) potential for deuteron ground state calculations.
  • Compared KAN-based models against Multilayer Perceptrons (MLPs) for performance and accuracy.

Main Results:

  • Achieved excellent agreement with reference calculations for deuteron binding energy and radii (deviation < 0.2%).
  • KAN-based models demonstrated ~10x faster convergence in wall-clock time compared to MLPs.
  • KANs accurately and stably captured short-range cusp behavior without ad hoc corrections.

Conclusions:

  • KANs provide superior flexibility and accuracy for quantum wave function representation in nuclear physics.
  • KAN-VMC is a highly promising and scalable method for ab initio studies of larger nuclear systems.
  • This framework paves the way for future research in nuclear structure and high-energy physics.