Geometrical interpretation of the photon position operator with commuting components

Michał Dobrski; Maciej Przanowski; Jaromir Tosiek; Francisco J. Turrubiates

doi:10.1103/PhysRevA.104.042206

Geometrical interpretation of the photon position operator with commuting components

Michał Dobrski, Maciej Przanowski, Jaromir Tosiek, Francisco J. Turrubiates

Escuela Superior de Física y Matemáticas (ESFM)

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

It is shown that the photon position operator with commuting components can be written in the momentum representation as , where is a flat connection in the tangent bundle over equipped with the Cartesian structure. Moreover, is such that the tangent 2-planes orthogonal to the momentum are propagated parallel with respect to and also is an anti-Hermitian (i.e., is Hermitian) operator with respect to the scalar product . The eigenfunctions of the position operator are found.

Translated title of the contribution	Interpretación geométrica del operador de posición del fotón con componentes de conmutación
Original language	English
Article number	042206
Journal	Physical Review A
Volume	104
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevA.104.042206
State	Published - Oct 2021

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10.1103/PhysRevA.104.042206

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AU - Tosiek, Jaromir

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AB - It is shown that the photon position operator with commuting components can be written in the momentum representation as , where is a flat connection in the tangent bundle over equipped with the Cartesian structure. Moreover, is such that the tangent 2-planes orthogonal to the momentum are propagated parallel with respect to and also is an anti-Hermitian (i.e., is Hermitian) operator with respect to the scalar product . The eigenfunctions of the position operator are found.

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Geometrical interpretation of the photon position operator with commuting components

Abstract

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