The quasi particles - such as electrons, holes, plasmons, phonons, magnons and polarons, Cooper pairs, are on the list of those we try to be concerned about. I prefer to be less available for critical arrows sent by atomic science purists, still the reality is like this.
The whole body of the atomic scale science was created mainly by the force of imagination, great imaginations of great people. That was more then 70 years ago. The basic entities involved had no multibody treatments - there were no such solutions, and multibody problems considered unsolvable at that time - WHAT was and has being used in Quantum Field Theory is still not a many-body treatment. Well, it is called the "many-body" now and then, but it is not; no good ground scattering mechanisms, (well, it is called the "scattering" but it is not); and this is only the fraction of major assumptions. Some qualified people know this, just don't bother amidst of the day to day activity.
And, by the way, there were no such fashionable now things as the scaling thinking, at least there were no such words and things as the atomic scale microscope, nanotechnology, multiscale modeling, scaling communications, etc.
Now is the different story. Mathematics has been advanced, experimental tools such as MFM, SEM, STM, TEM give so specific pictures that many unanswered 60-80 years old questions can have different interpretations.
In recent years not only the scaled hierarchical hydrodynamic equations had been evolved to the stage of practical problems solution. But the second compulsory part of the physics phenomena of any scale - the wave mechanics HSP-VAT disciplines were formed, developed mathematically to the sufficient level allowing to deal with the practical implementation and advanced problems simulation for any sub-discipline of physics.
That gives the basics, we believe for the scaled treatment not only of nanoscale but and atomic and lower scale phenomena. After all - those things are co-exist without our approval (without accepted theory or explanation) for atomic scale subjects being formed into the solid state.
We need to remind here the few first pages from the piece of our text -
which gives some of prehistory of nanoscale heterogeneous matter models and modeling. The few governing equations had been really derived according to HSP-VAT heterogeneous conceptions for the matter.
There won't be too many of references related to Hierarchical Heterogeneous Scaled atomic physics and electrodynamics, than of my work, sorry for this statement. I simply do not know other approaches which interpret these scale phenomena in a matter from the angle of using the Heterogeneous WSAM theorems, but not the Homogeneous Gauss-Ostrogradsky theorem, that's it. It just starts with the Heterogeneous Scaled mathematics, and then the physical applications come into the scene.
See more in sections on Heterogeneous Electrodynamics -
and Optics (including scattering issues)
and Acoustics (just don't blame me for the SonoFusion sub-section, which is not edited according to the latest events yet, and where the collective behavior problem exists as it had been, no matter what temperature is)
If any information of this kind will be available to me and to my co-authors, we will put it in this and other websites.
In few instances known to me people started to write the analogous of LINEAR hydrodynamics HSP-VAT equations as for continuous matter LINEAR electrodynamics. Using also the same concepts, still with no straight statements for problems. With no scaling, and no closure and no solutions.
Further in this section on Atomic and Subatomic scales Physics we included more of research at UCLA on plasma and fusion? There are variety of Institutions, their studies we spoke about in this website. I happen to be associated with UCLA, know more on that University, I had spent a lot of years over there trying to introduce the correct mathematical and physical knowledge and education on Hierarchical, Heterogeneous, and/or Scaled matters and media. Also, important, that I know people and know what they did through the years of their affiliation.
Here I am talking and would talk on plasma and fusion physics Heterogeneous and scaling issues mainly.
Travkin, V.S. and Catton, I. Transport phenomena in heterogeneous media based on volume averaging theory// Advances in Heat Transfer. (New York, Academic Press, 2001. Vol. 34.). P.1-144.
Travkin, V. S. and Ponomarenko, A. T., "Electrodynamic Equations for Heterogeneous Media and Structures on the Length Scales of Their Constituents", Inorganic Materials, Vol. 40, Suppl. 2, pp. S128 - S144, (2004).
Travkin, V. S. and Ponomarenko, A. T., "The Non-local Formulation of Electrostatic Problems for Sensors Heterogeneous Two- or Three Phase Media, the Two-Scale Solutions and Measurement Applications -1," Journal of Alternative Energy and Ecology, No. 3, pp. 9-19, (2005).
Travkin, V. S. and Ponomarenko, A. T., "The Non-local Formulation of Electrostatic Problems for Sensors Heterogeneous Two- or Three Phase Media, the Two-Scale Solutions and Measurement Applications - 2," Journal of Alternative Energy and Ecology, No. 4, pp. 9-22, (2005).
Travkin, V. S. and Ponomarenko, A. T., "The Non-local Formulation of Electrostatic Problems for Sensors Heterogeneous Two- or Three Phase Media, the Two-Scale Solutions and Measurement Applications - 3," Journal of Alternative Energy and Ecology, No. 5, pp. 34-44, (2005).