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October 13, 2025Open Access

Mixed regularity and sparse grid approximations of N-body Schrödinger evolution equation

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Authors

LMLong MengDZDexuan Zhou

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Overview

Mathematical analysis shows mixed regularity for wavefunctions, suggesting sparse grid approximations can simplify computations in N-body systems.

Key Points

  • Sparse grid GTOs significantly reduce computational complexity in simulations of electronic systems.
  • The approach was validated on the Helium atom and Hydrogen molecule, confirming its efficiency.
  • Mixed regularity for wavefunctions was established, critical for accurate approximation.
  • This method provides an effective alternative to conventional full grid discretizations.

Cite This Study

Meng et al. (2025) studied this question.

synapsesocial.com/papers/68ecfebf950606aabec09246https://doi.org/10.48550/arxiv.2509.10805
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