To be specific, could the adsorption process be explained as the effect of Boson or any quantum eigenstate between the material and ions? If so, what is the Boson or what is the state?
Um, Ions aren't Bosons. May I suggest reading some books and papers on Ion absorption and also perhaps a basic intro to Quantum Field Theory so that you know what a Boson is what a quantum eigenstate is. Here's a clue: Bosons are massless (or at least nearly) particles which acts as the force mediator particles for the Electromagnetic (photons), Strong (Gluons), Weak (W and Z bosons), and Gravity (Gravitons, if you believe in a quantum field theory of gravity).
Get back to us in about a year once you have absorbed the relevant background information, and maybe we can discuss some interesting phenomenon related to ion absorption (which normally pre-assumes basic knowledge of the fundamental science related to the subject).
Dear Dr. Marguilies. I am sorry for not making my question clear. I did not mean ions are bosons, say ions occupy real spaces while Bosons not. Just like the examples you have made, Bosons somehow describes a state/interaction rather than a specific thing. And my question is that if i.e. metal ions are absorbed by a bonded oxygen atom at specific surface, could the interaction be described by quantum field theory, and which Boson model best fits the situation?
The answer to your question is no. Why do you say Bosons don't occupy real space? Bosons certainly occupy real space. if they didn't they would not be able to interact with matter, like ions for example. The interaction of an ion with a surface, and how it bonds does not have anything to do with the concept of a Boson.