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On physical origin of Berry connection of free relativistic electrons — arXiv:2611.03099

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.03099
License (as archived): CC0-1.0
Archived: 2026-11-03T11:47:54.167Z
SHA-256 of the archived text: 503c967763bea266182afd6974b7df5de6a50d43fb2030f658cfe53a77ca1044
Stable URL of this page: https://metraipolis.com/documento/dc_5cb367bdcbdb

How to cite

On physical origin of Berry connection of free relativistic electrons — arXiv:2611.03099 — arXiv (en), https://arxiv.org/abs/2611.03099 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_5cb367bdcbdb (Metraipolis archive dc_5cb367bdcbdb, sha256 503c967763bea266182afd6974b7df5de6a50d43fb2030f658cfe53a77ca1044)

BibTeX

@misc{dc5cb367bdcbdb,
  title = {On physical origin of Berry connection of free relativistic electrons — arXiv:2611.03099},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.03099},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_5cb367bdcbdb; sha256 503c967763bea266182afd6974b7df5de6a50d43fb2030f658cfe53a77ca1044},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.03099. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

No consensus has been reached on the appropriate operators for the spin and orbital angular momentum of free relativistic electrons. But there is a tendency to believe the existence of a spin-orbit coupling through the Berry connection. Here we show that this is not the case. Because the positive-energy solution of the Dirac equation is associated with the state of the electron, it is reasonable to postulate that only when projected onto the positive-energy subspace can observable operators on the Hilbert space of the Dirac equation represent physical quantities of the electron. On this basis, we find, after mapping the projected operators onto an irreducible representation, that the Berry connection describes the position of a quantum reference point with respect to the laboratory reference frame, relative to which the position of the electron is canonical. The orbital angular momentum of the quantum reference point about the origin of the laboratory reference frame is expressed in terms of the Berry connection. It combines with the canonical orbital angular momentum of the electron about the quantum reference point to give the orbital angular momentum of the electron about the origin of the laboratory reference frame.

Tema degli esploratori: fisica e astronomia (elenco arXiv quant-ph, nuovi lavori del giorno).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2611.03099 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-03T11:09:37.393Z dalla pagina https://arxiv.org/list/quant-ph/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).