Boundary between a particle in two energy states

[Rikrik]

Hi I'm new to quantum mechanics, Looking for some help regarding a concept i am struggling to solve. I am curious if I had a cube of particles in a ground state and another cube with the same particle in a higher energy state.

If I placed one upon another, is there anything in quantum mechanics that would produce a barrier type effect.

Say if the top cube is in the ground state, Would the particles on the interface between each cube swap energy states and then swap straight back as the majority of the cube has a energy state weighted towards the ground state, some sort of sudo super positioning.

Kind regards,
Rick.

 

[PeroK]

I think you need to be more specific about the physical scenario you have in mind. In general, a system of particles will reach a thermodynamic equilibrium, based on the overall energy and the allowable states for the system.