Abstract

Charged particle beam transport has been recently described in terms of a quantum-like model, called Thermal Wave Model (TWM). Within the framework of TWM, the longitudinal dynamics of a relativistic charged particle beam in an accelerating machine is presented. It is shown that this dynamics is governed by a nonlinear Schrödinger-like equation for a complex function (the beam wave function) whose squared modulus is proportional to the beam number density. This way it is shown that such a description provides a wave theory for negative mass instability which is fully similar to the one used for describing oscillating two stream instability in plasma physics.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call