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The Quantum-Mechanical Model of an Atom02:45

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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.
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Updated: Jun 25, 2025

Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method
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An efficient and universal parallel algorithm for high-dimensional quantum dynamics in poly-atomic reactions.

Yong Zhou1,2, Yunpeng Lu3, Zhaojun Zhang2

  • 1Anhui Province Key Laboratory for Control and Applications of Optoelectronic Information Materials, Department of Physics, Anhui Normal University, Wuhu 241000, People's Republic of China.

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A new parallel algorithm accelerates high-dimensional quantum dynamics simulations for polyatomic reactions. This efficient and scalable method enhances understanding of complex chemical reactions.

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Area of Science:

  • Computational Chemistry
  • Quantum Dynamics
  • Chemical Physics

Background:

  • High-dimensional quantum dynamics simulations are crucial for understanding polyatomic reactions.
  • Existing methods face challenges in scalability and efficiency for complex systems.

Purpose of the Study:

  • To develop and assess a novel parallel algorithm for high-dimensional quantum dynamics simulations.
  • To improve the efficiency and scalability of simulations for polyatomic reactions.

Main Methods:

  • Implementation of a parallel algorithm integrating distributed- and shared-memory models.
  • Distribution of wave function and potential energy matrix across message passing interface processes using bundled dimensions.
  • Utilized two- or one-sided communication schemes for performance optimization.

Main Results:

  • Demonstrated linear scalability with over 90% efficiency using up to 600 processors for the H + NH3 reaction.
  • The algorithm showed excellent extensibility, successfully applied to six-atom and four-atom reactions.
  • Confirmed the algorithm's efficiency, scalability, and adaptability in realistic simulations.

Conclusions:

  • The developed parallel algorithm provides a robust foundation for high-dimensional dynamics studies.
  • The algorithm is a valuable tool for exploring quantum dynamics complexities in diverse reaction systems.
  • This work paves the way for future advancements in computational chemistry and quantum dynamics.