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The concept that matter behaves like a wave was proposed by French physicist Louis de Broglie (/ d ə ˈ b r ɔɪ /) in 1924, and so matter waves are also known as de Broglie waves. The de Broglie wavelength is the wavelength, λ, associated with a particle with momentum p through the Planck constant, h: =.
According to the de Broglie relation, electrons with kinetic energy of 54 eV have a wavelength of 0.167 nm. The experimental outcome was 0.165 nm via Bragg's law, which closely matched the predictions. As Davisson and Germer state in their 1928 follow-up paper to their Nobel prize winning paper, "These results, including the failure of the data ...
In the framework of the de Broglie–Bohm theory, the quantum potential is a term within the Schrödinger equation which acts to guide the movement of quantum particles. . The quantum potential approach introduced by Bohm [1] [2] provides a physically less fundamental exposition of the idea presented by Louis de Broglie: de Broglie had postulated in 1925 that the relativistic wave function ...
Planck–Einstein equation and de Broglie wavelength relations P = (E/c, p) is the four-momentum, ... K max = Maximum kinetic energy of ejected electron (J)
The De Broglie relations: =, = apply. Since the potential energy is (stated to be) zero, the total energy E is equal to the kinetic energy, which has the same form as in classical physics: E = T → ℏ 2 k 2 2 m = ℏ ω {\displaystyle E=T\,\rightarrow \,{\frac {\hbar ^{2}k^{2}}{2m}}=\hbar \omega }
For de Broglie matter waves the frequency dispersion relation is non-linear: +. The equation says the matter wave frequency ω {\displaystyle \omega } in vacuum varies with wavenumber ( k = 2 π / λ {\displaystyle k=2\pi /\lambda } ) in the non-relativistic approximation.
Louis Victor Pierre Raymond, 7th Duc de Broglie (/ d ə ˈ b r oʊ ɡ l i /, [1] also US: / d ə b r oʊ ˈ ɡ l iː, d ə ˈ b r ɔɪ /; [2] [3] French: [də bʁɔj] [4] [5] or [də bʁœj] ⓘ; 15 August 1892 – 19 March 1987) [6] was a French physicist and aristocrat known for his contributions to quantum theory.
Majorana produced other important contributions that were unpublished, including wave equations of various dimensions (5, 6, and 16). They were anticipated later (in a more involved way) by de Broglie (1934), and Duffin, Kemmer, and Petiau (around 1938–1939) see Duffin–Kemmer–Petiau algebra. The Dirac–Fierz–Pauli formalism was more ...