English

Who has seen a free photon?

General Physics 2011-02-01 v1

Abstract

While the notion of the position of photons is indispensable in the quantum optical situations, it has been known in mathematical physics that any position operator cannot be defined for a massless free particle with a non-zero finite spin. This dilemma is resolved by introducing the "effective mass" of a photon due to the interaction with matter. The validity of this interpretation is confirmed in reference to the picture of "polariton", a basic notion in optical and solid physics. In this connection, we discuss the long-standing controversy between Minkowski's and Abraham's definitions of the momenta of a photon in media from the general viewpoint adopted in the appendix.

Keywords

Cite

@article{arxiv.1101.5782,
  title  = {Who has seen a free photon?},
  author = {Izumi Ojima and Hayato Saigo},
  journal= {arXiv preprint arXiv:1101.5782},
  year   = {2011}
}

Comments

12 pages

R2 v1 2026-06-21T17:18:56.145Z