具有相互作用的庞加莱群的两粒子实现
Two particle realisation of the Poincare group with interaction
摘要：
构造了两个自旋为零的粒子的相对位置4-矢量。这种相对位置的一些优势Bakamjian-Thomas指出。质心（CM）、相对位置和动量是所谓的非正则协变表象的明确实现。包含势项的哈密顿量被分解为CM分量和相对分量，后者是当相对位置、动量是正则共轭时在CM静止标架中容易计算的洛伦兹标量。
英文摘要：
A relative position 4-vector is constructed for two spin-zero particles. Some advantages of this relative position over Bakamjian-Thomas are pointed out. The centre-of-mass (CM) and relative positions and momenta are an explicit realisation of the so-called non-canonical covariant representation. The Hamiltonian including potential terms is factorised into CM and relative components, the latter is a Lorentz scalar readily evaluated in the CM rest frame when the relative position, momentum are canonical conjugates.
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