Biography:William Rowan Hamilton

William Rowan Hamilton
William Rowan Hamilton
Born	4 August 1805 Dublin, Ireland
Died	2 September 1865 Dublin, Ireland
Known for	Hamiltonian mechanics; Hamilton-Jacobi equation; quaternions
Awards	Royal Medal (1835)

Sir William Rowan Hamilton (4 August 1805 - 2 September 1865) was an Irish mathematician and mathematical physicist whose reformulation of classical mechanics became essential to later quantum theory.

Quantum context

Hamiltonian mechanics describes dynamics through an energy function and canonical variables. In quantum mechanics the Hamiltonian becomes the operator that generates time evolution and determines stationary-state energies.

Hamilton's work therefore provides part of the mathematical bridge from classical mechanics to Physics:Quantum Hamiltonian, wave mechanics, and operator-based formulations of quantum theory.

Linked Quantum Collection pages

• Physics:Quantum Hamiltonian
• Physics:Quantum Matter wave
• Physics:Quantum mechanics
• Physics:Quantum Time evolution

References

• Hamilton, William Rowan (1931). The Mathematical Papers of Sir William Rowan Hamilton. Cambridge University Press. 
• "William Rowan Hamilton". MacTutor History of Mathematics Archive. https://mathshistory.st-andrews.ac.uk/Biographies/Hamilton/. 

Author: Harold Foppele

Source attribution: Biography:William Rowan Hamilton