Quantum Mechanics in Space--Time: the Feynman Path Amplitude Description of Physical Optics, de Broglie Matter Waves and Quark and Neutrino Flavour Oscillations
arXiv:quant-ph/0503026 · doi:10.1016/j.aop.2005.09.002
Abstract
Feynman's laws of quantum dynamics are concisely stated, discussed in comparison with other formulations of quantum mechanics and applied to selected problems in the physical optics of photons and massive particles as well as flavour oscillations. The classical wave theory of light is derived from these laws for the case in which temporal variation of path amplitudes may be neglected, whereas specific experiments, sensitive to the temporal properties of path amplitudes, are suggested. The reflection coefficient of light from the surface of a transparent medium is found to be markedly different to that predicted by the classical Fresnel formula. Except for neutrino oscillations, good agreement is otherwise found with previous calculations of spatially dependent quantum interference effects.
89 pages, 12 figures, 3 tables
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- The Phase of Neutrino Oscillations
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Cited by in corpus (6)
- Action Physics
- Description of diffraction grating experiments for photons and electrons in Feynman's space-time formulation of quantum mechanics: The quantum origins of classical wave theories of light and massive particles
- Evolution of Mixed Particles Interacting with Classical Sources
- Sorkin parameter for type-I spontaneous parametric down-conversion biphotons and matter waves
- Quantum Distributions for the Electromagnetic Field
- A New Derivation of the Propagator's Path Integral for Spinless Elementary Particles