论文标题
Majorana粒子的相对论量子力学
Relativistic Quantum Mechanics of the Majorana Particle
论文作者
论文摘要
本文是自由主要粒子的相对论量子力学的教学介绍。在几个重要方面，这种相对简单的理论与狄拉克粒子的众所周知的量子力学不同。我们介绍了它的三种等效配方。接下来，引入了所谓的轴向动量，并根据该操作员的本征函数讨论了Dirac方程的一般解。讨论了庞加莱集团的相关表现。最后，我们表明，在无质量的主要粒子的情况下，量子力学可以作为旋转仪表理论重新构建。
This article is a pedagogical introduction to relativistic quantum mechanics of the free Majorana particle. This relatively simple theory differs from the well-known quantum mechanics of the Dirac particle in several important aspects. We present its three equivalent formulations. Next, so called axial momentum observable is introduced, and general solution of the Dirac equation is discussed in terms of eigenfunctions of that operator. Pertinent irreducible representations of the Poincaré group are discussed. Finally, we show that in the case of massless Majorana particle the quantum mechanics can be reformulated as a spinorial gauge theory.
