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Plasmon Oscillations and de Broglie's Matter Waves Instabilities
Akbari
-
Moghanjoughi
,
M
arXiv.org, 2023-05
Ithaca: Cornell University Library, arXiv.org
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Título:
Plasmon Oscillations and de Broglie's Matter Waves Instabilities
Autor:
Akbari
-
Moghanjoughi
,
M
Assuntos:
Electron beams
;
Excitation
;
Matter & antimatter
;
Matter waves
;
Particle interactions
;
Physics - Plasma Physics
;
Physics - Quantum Physics
;
Quantum mechanics
;
Resonant interactions
;
Wave interaction
;
Wave propagation
;
Wave-particle interactions
É parte de:
arXiv.org, 2023-05
Descrição:
In this research we study the effect of matter-wave instability on electron beam transport with arbitrary degree of degeneracy. Particular class of solutions of the Schr\"{o}dinger-Poisson system is used to model the electron-beam transport at constant speed. It is shown that such electron-beam is described by a coupled driven pseudoforce system solution of which leads to plasmon excitations with dual wave-particle character. The fundamental quantum mechanical de Broglie relation is found to be due to the resonant interaction of particle-like plasmon excitation branch with the electron beam drift. We further obtain a generalized double lengthscale de Broglie wave-particle relation through which various beam-plasmon instability is studied in this model. The quantum charge screening and the chemical potential effects on the matter-wave formation and instabilities are discussed in detail and the well-known Aharonov-Bohm effect is revisited in current quantum hydrodynamic model. Current research may further illuminate the origin of matter-wave in quantum mechanics and lead to clear understanding of novel wave-particle interactions.
Editor:
Ithaca: Cornell University Library, arXiv.org
Idioma:
Inglês
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