论文标题
相对论两体结合状态的对称性
Symmetry of the Relativistic Two-Body Bound State
论文作者
论文摘要
我们表明，在相对的两体结合状态问题的相对协变量中，结合状态谱是一致的，直到相对论校正，而不是相对论的校正。通过在Minkowski时空的O（2,1）不变的子手机中，通过支持波函数来解决问题来实现该解决方案。但是，微分方程的o（3,1）不变性需要解决方案提供O（3,1）的表示。这种解决方案是通过诱导表示的方法获得的，从而提供了对相对论动力学对称性主题的基本见解。
We show that in a relativistically covariant formulation of the two-body bound state problem, the bound state spectrum is in agreement, up to relativistic corrections, with the non-relativistic bound state spectrum. The solution is achieved by solving the problem with support of the wave function in an O(2,1) invariant submanifold of the Minkowski spacetime. The O(3,1) invariance of the differential equation requires, however, that the solutions provide a representation of O(3,1). Such solutions are obtained by means of the method of induced representations, providing a basic insight into the subject of the symmetries of relativistic dynamics.
