Hamilton's optico-mechanical analogy is a conceptual parallel between trajectories in classical mechanics and wavefronts in optics, introduced by William...

qualitative form of this connection is called Hamilton's optico-mechanical analogy. In mathematics, the Hamilton–Jacobi equation is a necessary condition describing...

theory Hamilton's optico-mechanical analogy Covariant Hamiltonian field theory Classical mechanics Dynamical systems theory Hamiltonian system Hamilton–Jacobi...

He was guided by William Rowan Hamilton's analogy between mechanics and optics (see Hamilton's optico-mechanical analogy), encoded in the observation that...

which was later fully developed in Hamilton's ingenious optico-mechanical theory. This analogy played a fundamental role in the development of modern wave-mechanics...

Hamiltonian optics at Wikiversity Hamiltonian mechanics Hamilton's optico-mechanical analogy Calculus of variations H. A. Buchdahl, An Introduction to...

properties such as wavelength, phase and amplitude. The Hamilton's optico-mechanical analogy shows that electron beams can be modeled using concepts and...

idea, applying Hamilton's optico-mechanical analogy to connect the quantized action to Hamilton-Jacobi equations for the action. Hamilton's connection between...