论文标题

光子自旋的纺纱波方程,相对论条件和非局部性

Spinor wave equation, relativistic condition, and nonlocality of photon spin

论文作者

Li, Chun-Fang

论文摘要

本文的目的是得出光子自旋并从光子的一对量子方程中推导其性能。为此,重新解释了达尔文的方程式,以满足光子量子力学的需求。发现光子波函数在洛伦兹转化下作为旋转器转换。光子的相对论性质是通过对波函数的约束方程表示的,以使Schrödinger方程形式的波方程不为Lorentz COVariant,除非考虑约束方程。波动方程预测了一种自旋的存在,一种内在的自由度。但是,约束方程使旋转非本地化是因为在位置空间中没有独特的局部密度。光子自旋的非局部性是光子本身非局部性的反映。

The purpose of this paper is to derive the photon spin and to deduce its properties from a pair of quantum equations for the photon. To this end, Darwin's equations are reinterpreted so as to meet the need of the quantum mechanics of the photon. It is found that the photon wavefunction transforms under Lorentz transformation as a spinor. The relativistic nature of the photon is expressed through a constraint equation on the wavefunction in such a way that the wave equation, which takes on the form of the Schrödinger equation, is not Lorentz covariant unless the constraint equation is taken into account. The wave equation predicts the existence of a kind of spin, an intrinsic degree of freedom. But the constraint equation makes the spin nonlocal in the sense that no unique local density exists for the spin in position space. The nonlocality of the photon spin is a reflection of the nonlocality of the photon itself.

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