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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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