I’ve a got a question; and I am hopeful that you can provide any information or direct me to a better resource. I'm not a physicist; so please correct me if I'm wrong.
Scanning Probe Microscopy (SPM) can be used to probe and map the surface of electrical potential distribution. For example, let’s say that a Scanning Kelvin probe microscopy (SKPM) was used in some experiment to provide quantitative values of surface potential by determining the potential difference between the conductive probe tip and the sample surface (say NW assemblies).
I was wondering whether there is any physical formula to model/describe the behavior of the electrical potential distribution at nano/atomic scale.
Also, do you think Maxwell's equations holds?
I appreciate any input.