Does accelerated particle recieve the same momentum per second in particle accelerator? Does electromagnetic force have 'red shift' to accelerated particle?

Does accelerated particle recieve the same momentum per second in particle accelerator?

 

Almost certainly not. Why would one expect it to?

 

Almost certainly not.

Thank you for the answer.

If we would create a constant change of momentum of accelerating particle per unit of our time , will the particle 'feel' a constant force of acceleration?

Thank you for the answer.

If we would create a constant change of momentum of accelerating particle per unit of our time , will the particle 'feel' a constant force of acceleration?

 

Classically, yes, since that's the definition of force. I'm not seeing an obstacle to why this couldn't be done relativistically, at least in principle (since obviously the energy requirements get unworkable at some point), but since real accelerators generally require a charged particle, there's the additional problem of radiation to worry about.