大质量光子的Dirac型相对论性量子力学
Dirac type relativistic quantum mechanics for massive photons
摘要：
本文建立了一个关于大质量光子的相对论性量子力学（RQM），在不求助于量子场论方法（如大质量Proca模型）的情况下，找到了一个新的理论粒子解，它允许大质量光子具有正能量或负能量。特别地，我们预言了对应于负能量解的所谓反光子的存在，类似于Dirac RQM中的正电子，注意反光子可能是伽马射线暴的强烈辐射耀斑。在这个有质量光子的RQM中，我们构造了一个正定的概率密度和一个非平凡的对角哈密顿量，并讨论了一个无质量光子。此外，我们还确定了在洛伦兹变换下大质量光子的相对论运动方程和相应的几率连续方程的协方差。
英文摘要：
Constructing a relativistic quantum mechanics (RQM) for a massive photon, without appealing to the quantum field theoretical approach such as the massive Proca model, we find a new theoretical particle solution which allows the massive photon having either positive or negative energy as solutions. In particular, we predict the existence of the so-called anti-photon corresponding to the negative energy solution, similar to the positron in the Dirac RQM for an electron. Note that the anti-photons could be an intense radiation flare of the gamma ray burst. In this RQM for the massive photon, we construct a positive definite probability density and a nontrivial diagonal Hamiltonian, and also discuss a massless photon. Moreover we confirm the covariances of the relativistic equation of motion for the massive photon and the corresponding probability continuity equation under the Lorentz transformation.
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