New answers tagged bosons
The wave behavior of particles like electrons and neutrons (whether fermions or bosons in their spin characterization) can be explained classically too. The electromagnetic interaction force that manifests itself as f=k/r^2, have an asymptotic behavior of f=k r, i.e a space spring force, when the forces involved are large and the displacement r is very ...
1) Yes, the charge is truly and exactly conserved. What it is confusing you, I think, is that the current for a scalar field explicitly depends on 4-potential $A$, whereas that for a spin-1/2 does not. This is obviously related to the number of derivatives in the Lagrangian kinetic term and, likewise, to the number of derivatives in the current. It can help ...
I recommend this paper: http://www.elp.uji.es/masterNNM/docencia/refs/1995%20AJP%20Cook%20chem%20potential.pdf The authors explain in a simple and clear way the physical meaning of the chemical potential in various systems, including ideal Bose gas.
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