Geometrical interpretation of the photon position operator with commuting components
نویسندگان
چکیده
It is shown that the photon position operator $\hat{\vec{X}}$ with commuting components can be written in momentum representation as $\hat{\vec{X}}=i \hat{\vec{D}}$, where $\hat{\vec{D}}$ a flat connection tangent bundle $T(\mathbb{R}^3 \setminus \{ (0,0,k_3) \in \mathbb{R}^3 : k_3 \geq 0\})$ over $\mathbb{R}^3 0\}$ equipped Cartesian structure. Moreover, such $2$-planes orthogonal to are parallelly propagated respect and, also, an anti-Hermitian scalar product $\langle \mathbf{\Psi} | \hat{H}^{-2s} |\mathbf{\Phi} \rangle$. The eigenfunctions $\mathbf{\Psi}_{\vec{X}} (\vec{x})$ of found.
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ژورنال
عنوان ژورنال: Physical review
سال: 2021
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physreva.104.042206