Space-Time Approach to Non-Relativistic Quantum Mechanics.¶
Feynman, R. P. (1948). Space-Time Approach to Non-Relativistic Quantum Mechanics. Reviews of Modern Physics, 20(2), 367-387.
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Primes¶
- Principle of Least Action
- … conditions — typically fixed endpoints in configuration space and time; and (4) the consequences — Euler-Lagrange equations of motion, conservation laws via Noether's theorem , extensions to field theory (action densities, Lagrangian densities), and the quantum-mechanical generalization (Feynman's path integral
This sourceDevelops path-integral formulation of quantum mechanics: amplitude for particle going from initial to final state is sum over all paths weighted by e^(iS/ℏ); classical path emerges as stationary-phase contribution (small ℏ limit). Radical reformulation making action central to quantum theory; enables systematic treatment of quantum field theory. PhD thesis (1942) defended; published version (1948) became canonical.
- … conditions — typically fixed endpoints in configuration space and time; and (4) the consequences — Euler-Lagrange equations of motion, conservation laws via Noether's theorem , extensions to field theory (action densities, Lagrangian densities), and the quantum-mechanical generalization (Feynman's path integral
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