M. Adeel Ajaib

Dirac Equation and Representation Dependent Scattering Phenomena

arXiv:2510.22872 (2024)

Demonstrates that spin-flip probabilities emerge in the relativistic regime for scalar potentials, absent in the standard Dirac representation. Shows that transmission and reflection coefficients can depend on the chosen representation of the Clifford algebra, revealing hidden physics in how spinor components couple to external barriers.

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Explainable AI for Curie Temperature Prediction in Magnetic Materials

arXiv:2508.06996 (2024)

Explores machine learning techniques for predicting Curie temperatures of magnetic materials using the NEMAD database. Employs SHAP analysis to identify key physicochemical drivers of Curie behavior, achieving R² score of 0.85 with the Extra Trees Regressor.

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The Hydrogen Atom and the Equivalent Form of Lévy-Leblond Equation

arXiv:1607.06729 (2016)

Examines the hydrogen atom using an equivalent form of the Lévy-Leblond equation, providing insights into the non-relativistic limit of quantum mechanics.

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Non-Relativistic Limit of the Dirac Equation

arXiv:1511.07901 (2015)

Investigates the non-relativistic limit of the Dirac equation, bridging relativistic and non-relativistic quantum mechanics through careful analysis of limiting procedures.

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A Fundamental Form of the Schrödinger Equation

Foundations of Physics 45, 1586 (2015); arXiv:1502.04274

Proposes a fundamental form of the Schrödinger equation with implications for understanding the foundations of quantum mechanics.

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