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Hamilton, W.R. (1833) On a General Method of Expressing the Paths of Light, and of the Planets, by the Coefficients of a Characteristic Function. Dublin University Review and Quarterly Magazine, 1, 795-826.

has been cited by the following article:

• TITLE: Deriving Some Results of Quantum Mechanics from Classical Physics

  AUTHORS: Ahmed El Houshy

  KEYWORDS: Classical Mechanics, Lagrangian Mechanics, Hamiltonian Mechanics, Variational Methods, Hamilton’s Principle, Stationary Phase Principle, Extended Canonical Transformation, Whitham’s Methods, Eikonal Representation, Dispersive Waves, Quantum Mechanics, Postulates of Quantum Mechanics, Wave-Particle Duality, Born’s Postulate, de Broglie Relation, Planck Relation, Schrodinger Equation, Schrodinger’s Cat, Group Velocity

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.10, October 31, 2025

  ABSTRACT: The idea is that inside the phase of a wave, there exists a variational structure. This allows a correspondence with Hamiltonian Mechanics. This allows a correspondence between waves and particles. Combined with Dispersive Wave Theory, results from Quantum Mechanics follow.