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August 22, 2026Canadian Journal of Chemistry

Developing the Pair Function Using de Broglie Waves to Describe the Particles

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Authors

BVBalakrishnan ViswanathanDDDarien DeWolf

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Overview

Theoretical analysis demonstrates real-valued local momenta in Coulomb pair functions using de Broglie waves, suggesting an alternative formulation of quantum eigensolutions.

Key Points

  • To reformulate the two-particle pair function in a Coulomb potential using de Broglie waves to eliminate complex-valued local momenta generated by canonical solutions.
  • Applied de Broglie wave eigensolutions to the Schrödinger equation for a two-particle system in a Coulomb potential.
  • Evaluated the resulting radial and angular expressions against canonical solutions based on spherical harmonics and associated Laguerre functions.
  • Generated Schrödinger equation eigensolutions characterized uniformly by real-valued local momenta.
  • Demonstrated that canonical Legendre polynomials and radial associated Laguerre functions correspond to the real components of the derived de Broglie waves, while equatorial functions remain identical.

Cite This Study

Viswanathan et al. (2026) studied this question.

synapsesocial.com/papers/6a89600eca7ade938187f1cchttps://doi.org/10.1139/cjc-2026-0113
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