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Updated: Nov 27, 2025

Quantitative Atomic-Site Analysis of Functional Dopants/Point Defects in Crystalline Materials by Electron-Channeling-Enhanced Microanalysis
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Atom-Diffraction from Surfaces with Defects: A Fermatian, Newtonian and Bohmian Joint View.

Ángel S Sanz1

  • 1Department of Optics, Faculty of Physical Sciences, Universidad Complutense de Madrid, Pza. Ciencias 1, Ciudad Universitaria, 28040 Madrid, Spain.

Entropy (Basel, Switzerland)
|December 3, 2020
PubMed
Summary

Bohmian mechanics offers insights into quantum-classical correspondence by analyzing helium atom diffraction. Bohmian trajectories reveal non-classical behavior distinct from Fermatian and Newtonian paths.

Keywords:
atom-surface scatteringbohmian mechanicsdiffractionmatter-wave opticsvortical dynamics

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Area of Science:

  • Quantum mechanics
  • Quantum foundations
  • Atomic physics

Background:

  • Bohmian mechanics is valuable for computational and interpretive quantum problems.
  • Understanding quantum-classical correspondence is a key challenge in physics.

Purpose of the Study:

  • To comparatively analyze Bohmian mechanics at different approximation levels for helium atom diffraction.
  • To investigate the survival of quantum aspects in refined approximations.
  • To gain insight into quantum-classical correspondence.

Main Methods:

  • Quantum treatment of helium atom diffraction from a defected substrate.
  • Utilizing approximated hard-wall and realistic interaction potential models.
  • Employing Fermatian, Newtonian, and Bohmian trajectories for analysis.

Main Results:

  • Diffraction intensity patterns were analyzed using quantum mechanics and trajectory-based methods.
  • Fermatian and Newtonian trajectories showed similarities.
  • Bohmian trajectories exhibited distinct, non-classical behavior.

Conclusions:

  • Bohmian mechanics provides a unique perspective on quantum phenomena.
  • The study highlights differences between classical and Bohmian trajectory interpretations.
  • This work contributes to understanding quantum-classical correspondence in atomic diffraction.