Artigo de periodico

On the Fermi Gas, the Sommerfeld Fine Structure Constant, and the Electron-Electron Scattering in Conductors (2025)

• Authors:
  • Santos, C A M dos
  • Luz, Mário Sérgio da
  • Oliveira, Felipe Souza
  • Alves, Leandro Marcos Salgado
• Autor USP: SANTOS, CARLOS ALBERTO MOREIRA DOS - EEL
• Unidade: EEL
• DOI: 10.1007/s13538-024-01611-x
• Assunto: ENERGIA ELÉTRICA
• Keywords: Electrical energy; Fermi gas; Transport properties; Quantum resistance; Bohr atom
• Agências de fomento:
  • Financiamento FAPESP
  • Financiamento CNPq
• Language: Inglês
• Abstract: Electrical energy is revisited as a fundamental parameter for inclusion in Fermi gas theory, in addition to thermal energy. It is argued that electrical energy can move some electrons to above the Fermi level, providing free charges to carry the electrical current, even at absolute zero temperature. The Drude model, Ohm’s law, quantum resistance, and the electrical resistivity due to electron–electron scattering appear naturally as a consequence of the theoretical description, which is based on the quantization of the angular momentum and the Fermi–Dirac distribution, considering total energy as 휖 = kBT + Φ0I. The electrical and magnetic forces acting on an electron are related to the ratio between the Fermi velocity and the speed of light and show that the electron motion is due to helical paths. Considering the center of mass description for the Bohr atom, it was possible to show that the magnetic force is related to the electrical force as FM = (훼∕휋)FE, which demonstrates that the electrons move in helical paths along the orbit. The helical motion naturally provides for quantization of the magnetic fux, the spin of the electron, and the frst correction term of the anomalous magnetic moment. Applying the model to describe the electron–electron scattering allows prediction of the behavior of the electrical resistivity of many metals at low temperatures, which is in excellent agreement with empirical observations.
• Imprenta:
  • Publisher: Springer
  • Publisher place: São Paulo
  • Date published: 2025
• Source:
  • Título: Brazilian journal of physics
  • ISSN: 0103-9733
  • Volume/Número/Paginação/Ano: v.55, art. n.2, p.1-15, 2025

Informações sobre o DOI: 10.1007/s13538-024-01611-x (Fonte: oaDOI API)
• Este periódico é de assinatura
• Este artigo é de acesso aberto
• URL de acesso aberto
• Cor do Acesso Aberto: green

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How to cite

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• ABNT

  SANTOS, C A M dos et al. On the Fermi Gas, the Sommerfeld Fine Structure Constant, and the Electron-Electron Scattering in Conductors. Brazilian journal of physics, v. 55, n. art. 2, p. 1-15, 2025Tradução . . Disponível em: https://doi.org/10.1007/s13538-024-01611-x. Acesso em: 04 ago. 2025.

• APA

  Santos, C. A. M. dos, Luz, M. S. da, Oliveira, F. S., & Alves, L. M. S. (2025). On the Fermi Gas, the Sommerfeld Fine Structure Constant, and the Electron-Electron Scattering in Conductors. Brazilian journal of physics, 55( art. 2), 1-15. doi:10.1007/s13538-024-01611-x

• NLM

  Santos CAM dos, Luz MS da, Oliveira FS, Alves LMS. On the Fermi Gas, the Sommerfeld Fine Structure Constant, and the Electron-Electron Scattering in Conductors [Internet]. Brazilian journal of physics. 2025 ;55( art. 2): 1-15.[citado 2025 ago. 04 ] Available from: https://doi.org/10.1007/s13538-024-01611-x

• Vancouver

  Santos CAM dos, Luz MS da, Oliveira FS, Alves LMS. On the Fermi Gas, the Sommerfeld Fine Structure Constant, and the Electron-Electron Scattering in Conductors [Internet]. Brazilian journal of physics. 2025 ;55( art. 2): 1-15.[citado 2025 ago. 04 ] Available from: https://doi.org/10.1007/s13538-024-01611-x

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