Dynamical sectors of a relativistic two particle model

Understand

We reconsider a model of two relativistic particles interacting via a multiplicative potential, as an example of a simple dynamical system with sectors, or branches, with different dynamics and degrees of freedom.The presence or absence of sectors depends on the values of rest masses.

• Some aspects of the canonical quantization are described.
• The model could be interpreted as a bigravity model in one dimension.