Coupling only to the center of mass degrees of freedom?

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Discussion Overview

The discussion revolves around the possibility of finding an interaction that couples only to the center of mass degrees of freedom of a composite system, such as an ion or atom, while avoiding energy transfer to the internal degrees of freedom. Participants explore various forces and interactions that might achieve this goal.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant inquires about the feasibility of coupling interactions only to the center of mass degrees of freedom without affecting the internal degrees of freedom.
  • Another participant suggests that homogeneous gravitational fields might be a method to achieve this coupling.
  • A later reply questions the suitability of gravitational fields, noting that for a free-falling particle, proper acceleration is zero, implying gravity may not be effective.
  • It is proposed that a force proportional to mass is necessary for each particle in the system to achieve the desired coupling.
  • Participants discuss the limitations of weak and strong interactions due to their short range and the classic electromagnetic interaction's inability to provide the required coupling due to opposite charges of constituents.
  • The Mössbauer effect is mentioned as a potential method to transfer momentum to a crystal without exciting internal degrees of freedom, and light scattering is also referenced, though its applicability is uncertain.

Areas of Agreement / Disagreement

Participants express differing views on the feasibility of achieving the desired coupling without affecting internal degrees of freedom, with no consensus reached on a viable method.

Contextual Notes

Participants note limitations regarding the range of interactions and the specific conditions under which certain forces operate, highlighting the complexity of the problem without resolving these issues.

JK423
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I am interested in the following scenario.

Suppose that you have a composite system, e.g. ion, atom or whatever you want. This system will have internal degrees of freedom (d.o.f.), i.e. relative positions and momenta, and also center of mass d.o.f..What i am looking for is to find an interaction (using e.g. E/M fields or something else(?)) that couples only to the center of mass d.o.f. and not to the internal ones. I'm not sure if that's even possible.
So basically i want to push the system around in space without giving energy to each constituents.

Do you know any way of doing that?

Thanks
 
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Homogeneous gravitational fields. This is the best, and the only general method.
 
Thanks mfb!

I'm interested in non-zero proper acceleration, and for a free falling particle that would be zero. So i don't think that gravitation is suitable.

You think it's not possible without gravity?
 
You need some force which is proportional to mass, for every particle in the setup.

The weak and strong interaction do not have a sufficient range to provide such an interaction as soon as your system is larger than a nucleus. The classic electromagnetic interaction cannot do that either, as electrons and protons (or nuclei) have opposite charges. The Mössbauer effect provides momentum to the whole crystal without exciting any internal degrees of freedom, and scattering of light is similar, but I don't know if that counts.
 

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