Quantum Physics

    

The Breather-Breather Interaction in the Sine-Gordon Model

Authors: Dennis Braun

In this paper, we investigate the interaction of two breathers in the Sine-Gordon model. We derive an explicit analytic expression for the two-breather solution of the Sine-Gordon equation and study its dynamics. We show that the breathers behave like classical particles of equal masses upon collision, but with the momentum continuously transferred via their fields. By suitably averaging the oscillations of the solution we derive analytic expressions for the trajectories of the two breathers. It is shown that in the non-relativistic limit, the interaction potential between the two breathers has the same form as the velocity-dependent interaction potentials used for Machian unified theories of gravity and inerita.

Comments: 19 Pages.

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Submission history

[v1] 2024-11-01 01:07:02

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