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In the late 17th century, Sir Isaac Newton had advocated that light was corpuscular (particulate), but Christiaan Huygens took an opposing wave description. While Newton had favored a particle approach, he was the first to attempt to reconcile both wave and particle theories of light, and the only one in his time to consider both, thereby anticipating modern wave-particle duality.
An important contribution to the Davisson–Germer experiment was made by Walter M. Elsasser in Göttingen in the 1920s, who remarked that the wave-like nature of matter might be investigated by electron scattering experiments on crystalline solids, just as the wave-like nature of X-rays had been confirmed through Barkla's X-ray scattering ...
If the matter field is taken so as to describe the interaction of electromagnetic fields with the Dirac electron given by the four-component Dirac spinor field ψ, the current and charge densities have form: [2] = † = †, where α are the first three Dirac matrices. Using this, we can re-write Maxwell's equations as:
In his 1924 PhD thesis, he postulated the wave nature of electrons and suggested that all matter has wave properties. This concept is known as the de Broglie hypothesis, an example of wave-particle duality, and forms a central part of the theory of quantum mechanics.
In modern physics, the double-slit experiment demonstrates that light and matter can exhibit behavior of both classical particles and classical waves.This type of experiment was first performed by Thomas Young in 1801, as a demonstration of the wave behavior of visible light. [1]
The more general description of matter waves corresponding to a single particle type (e.g. a single electron or neutron only) would have a form similar to = (,) (() /) where now there is an additional spatial term (,) in the front, and the energy has been written more generally as a function of the wave vector. The various terms given ...
De Broglie proposed that the frequency f of a matter wave equals E/h, where E is the total energy of the particle and h is the Planck constant.For a particle at rest, the relativistic equation E=mc 2 allows the derivation of the Compton frequency f for a stationary massive particle, equal to mc 2 /h.
In theoretical physics, the dual photon is a hypothetical elementary particle that is a dual of the photon under electric–magnetic duality which is predicted by some theoretical models, [3] [4] [5] including M-theory. [1] [2] It has been shown that including magnetic monopole in Maxwell's equations introduces a singularity.